71051238720 has 2016 divisors, whose sum is σ = 341981942400. Its totient is φ = 13795246080.

The previous prime is 71051238719. The next prime is 71051238721. The reversal of 71051238720 is 2783215017.

71051238720 is a `hidden beast` number, since 71 + 0 + 512 + 3 + 8 + 72 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (71051238719) and next prime (71051238721).

It is a tau number, because it is divible by the number of its divisors (2016).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (71051238721) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 973304604 + ... + 973304676.

It is an arithmetic number, because the mean of its divisors is an integer number (169633900).

Almost surely, 2^71051238720 is an apocalyptic number.

71051238720 is a gapful number since it is divisible by the number (70) 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 71051238720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170990971200).

71051238720 is an abundant number, since it is smaller than the sum of its proper divisors (270930703680).

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

71051238720 is a wasteful number, since it uses less digits than its factorization.

71051238720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The spelling of 71051238720 in words is "seventy-one billion, fifty-one million, two hundred thirty-eight thousand, seven hundred twenty".