96826752503712 has 1152 divisors, whose sum is σ = 372420782899200. Its totient is φ = 23925673728000.

The previous prime is 96826752503687. The next prime is 96826752503797. The reversal of 96826752503712 is 21730525762869.

96826752503712 is a `hidden beast` number, since 9 + 6 + 8 + 2 + 6 + 7 + 5 + 250 + 371 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 96826752503712.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1338440662 + ... + 1338513002.

It is an arithmetic number, because the mean of its divisors is an integer number (323281929600).

Almost surely, 2^{96826752503712} 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 96826752503712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186210391449600).

96826752503712 is an abundant number, since it is smaller than the sum of its proper divisors (275594030395488).

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

96826752503712 is a wasteful number, since it uses less digits than its factorization.

96826752503712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72479 (or 72454 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 96826752503712 in words is "ninety-six trillion, eight hundred twenty-six billion, seven hundred fifty-two million, five hundred three thousand, seven hundred twelve".