71196748721280 has 3072 divisors, whose sum is σ = 323831247667200. Its totient is φ = 13995904204800.

The previous prime is 71196748721233. The next prime is 71196748721281. The reversal of 71196748721280 is 8212784769117.

71196748721280 is a `hidden beast` number, since 7 + 1 + 1 + 9 + 67 + 487 + 2 + 12 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (71196748721281) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 228928452325 + ... + 228928452635.

It is an arithmetic number, because the mean of its divisors is an integer number (105413817600).

Almost surely, 2^{71196748721280} is an apocalyptic number.

71196748721280 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 71196748721280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161915623833600).

71196748721280 is an abundant number, since it is smaller than the sum of its proper divisors (252634498945920).

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

71196748721280 is a wasteful number, since it uses less digits than its factorization.

71196748721280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 683 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 18966528, while the sum is 63.

The spelling of 71196748721280 in words is "seventy-one trillion, one hundred ninety-six billion, seven hundred forty-eight million, seven hundred twenty-one thousand, two hundred eighty".