71596800000000 has 1620 divisors, whose sum is σ = 284535170724168. Its totient is φ = 17203200000000.

The previous prime is 71596799999999. The next prime is 71596800000017. The reversal of 71596800000000 is 869517.

It is a super-2 number, since 2×71596800000000² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 633599999944 + ... + 633600000056.

Almost surely, 2^{71596800000000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 71596800000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142267585362084).

71596800000000 is an abundant number, since it is smaller than the sum of its proper divisors (212938370724168).

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

71596800000000 is an frugal number, since it uses more digits than its factorization.

71596800000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198 (or 134 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

Adding to 71596800000000 its reverse (869517), we get a palindrome (71596800869517).

The spelling of 71596800000000 in words is "seventy-one trillion, five hundred ninety-six billion, eight hundred million", and thus it is an aban number.