96810577920 has 936 divisors, whose sum is σ = 405833120784. Its totient is φ = 22072393728.

The previous prime is 96810577901. The next prime is 96810577951. The reversal of 96810577920 is 2977501869.

96810577920 is a `hidden beast` number, since 9 + 68 + 1 + 0 + 577 + 9 + 2 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 243855162 + ... + 243855558.

It is an arithmetic number, because the mean of its divisors is an integer number (433582394).

Almost surely, 2^96810577920 is an apocalyptic number.

96810577920 is a gapful number since it is divisible by the number (90) 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 96810577920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202916560392).

96810577920 is an abundant number, since it is smaller than the sum of its proper divisors (309022542864).

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

96810577920 is an equidigital number, since it uses as much as digits as its factorization.

96810577920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 54.

The spelling of 96810577920 in words is "ninety-six billion, eight hundred ten million, five hundred seventy-seven thousand, nine hundred twenty".