96745881600 has 561 divisors, whose sum is σ = 359889902173. Its totient is φ = 25798901760.

The previous prime is 96745881593. The next prime is 96745881623. The reversal of 96745881600 is 618854769.

The square root of 96745881600 is 311040.

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

It is a Jordan-Polya number, since it can be written as (6!)² ⋅ 4! ⋅ (3!)⁵.

It can be written as a sum of positive squares in only one way, i.e., 34828517376 + 61917364224 = 186624^2 + 248832^2 .

It is a super-2 number, since 2×96745881600² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 32 ways as a sum of consecutive naturals, for example, 19349176318 + ... + 19349176322.

Almost surely, 2^96745881600 is an apocalyptic number.

96745881600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

96745881600 is the 311040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96745881600

96745881600 is an abundant number, since it is smaller than the sum of its proper divisors (263144020573).

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

96745881600 is an frugal number, since it uses more digits than its factorization.

96745881600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 96745881600 in words is "ninety-six billion, seven hundred forty-five million, eight hundred eighty-one thousand, six hundred".