71250460250112 has 1248 divisors, whose sum is σ = 252795071692800. Its totient is φ = 19039695667200.

The previous prime is 71250460250107. The next prime is 71250460250117. The reversal of 71250460250112 is 21105206405217.

71250460250112 is a `hidden beast` number, since 7 + 1 + 250 + 46 + 0 + 250 + 112 = 666.

It is an interprime number because it is at equal distance from previous prime (71250460250107) and next prime (71250460250117).

It is a tau number, because it is divible by the number of its divisors (1248).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (71250460250117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12910028089 + ... + 12910033607.

It is an arithmetic number, because the mean of its divisors is an integer number (202560153600).

Almost surely, 2^{71250460250112} is an apocalyptic number.

71250460250112 is a gapful number since it is divisible by the number (72) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71250460250112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126397535846400).

71250460250112 is an abundant number, since it is smaller than the sum of its proper divisors (181544611442688).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

71250460250112 is a wasteful number, since it uses less digits than its factorization.

71250460250112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5683 (or 5658 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

Adding to 71250460250112 its reverse (21105206405217), we get a palindrome (92355666655329).

The spelling of 71250460250112 in words is "seventy-one trillion, two hundred fifty billion, four hundred sixty million, two hundred fifty thousand, one hundred twelve".