96752952576 has 720 divisors, whose sum is σ = 349640949504. Its totient is φ = 26013892608.

The previous prime is 96752952557. The next prime is 96752952617. The reversal of 96752952576 is 67525925769.

96752952576 is a `hidden beast` number, since 9 + 6 + 7 + 5 + 2 + 9 + 52 + 576 = 666.

It is a super-2 number, since 2×96752952576² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 243710010 + ... + 243710406.

Almost surely, 2^96752952576 is an apocalyptic number.

96752952576 is a gapful number since it is divisible by the number (96) 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 96752952576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174820474752).

96752952576 is an abundant number, since it is smaller than the sum of its proper divisors (252887996928).

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

96752952576 is a wasteful number, since it uses less digits than its factorization.

96752952576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 528 (or 505 counting only the distinct ones).

The product of its digits is 71442000, while the sum is 63.

The spelling of 96752952576 in words is "ninety-six billion, seven hundred fifty-two million, nine hundred fifty-two thousand, five hundred seventy-six".