96951758976 has 192 divisors, whose sum is σ = 298657632000. Its totient is φ = 31274449920.

The previous prime is 96951758903. The next prime is 96951758977. The reversal of 96951758976 is 67985715969.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (96951758977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 913950 + ... + 1014498.

It is an arithmetic number, because the mean of its divisors is an integer number (1555508500).

Almost surely, 2^96951758976 is an apocalyptic number.

96951758976 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 96951758976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149328816000).

96951758976 is an abundant number, since it is smaller than the sum of its proper divisors (201705873024).

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

96951758976 is a wasteful number, since it uses less digits than its factorization.

96951758976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100609 (or 100585 counting only the distinct ones).

The product of its digits is 257191200, while the sum is 72.

It can be divided in two parts, 9695 and 1758976, that added together give a palindrome (1768671).

The spelling of 96951758976 in words is "ninety-six billion, nine hundred fifty-one million, seven hundred fifty-eight thousand, nine hundred seventy-six".