96925123584 has 495 divisors, whose sum is σ = 309143346127. Its totient is φ = 30246137856.

The previous prime is 96925123573. The next prime is 96925123591. The reversal of 96925123584 is 48532152969.

The square root of 96925123584 is 311328.

It is a perfect power (a square), and thus also a powerful number.

96925123584 is a `hidden beast` number, since 9 + 6 + 9 + 2 + 51 + 2 + 3 + 584 = 666.

It is a super-3 number, since 3×96925123584³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (4665600) is a multiple of the sum of its prime divisors (75).

It is a self number, because there is not a number n which added to its sum of digits gives 96925123584.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 2062236649 + ... + 2062236695.

Almost surely, 2^96925123584 is an apocalyptic number.

96925123584 is a gapful number since it is divisible by the number (94) formed by its first and last digit.

96925123584 is the 311328-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96925123584

96925123584 is an abundant number, since it is smaller than the sum of its proper divisors (212218222543).

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

96925123584 is an equidigital number, since it uses as much as digits as its factorization.

96925123584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 75 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 54.

The spelling of 96925123584 in words is "ninety-six billion, nine hundred twenty-five million, one hundred twenty-three thousand, five hundred eighty-four".