97516415001600 has 891 divisors, whose sum is σ = 406298024982057. Its totient is φ = 22281882255360.

The previous prime is 97516415001587. The next prime is 97516415001623. The reversal of 97516415001600 is 610051461579.

The square root of 97516415001600 is 9875040.

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

97516415001600 is a `hidden beast` number, since 9 + 75 + 1 + 6 + 415 + 0 + 0 + 160 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 35105909400576 + 62410505601024 = 5925024^2 + 7900032^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 33180132931 + ... + 33180135869.

Almost surely, 2^{97516415001600} is an apocalyptic number.

97516415001600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

97516415001600 is the 9875040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 97516415001600

97516415001600 is an abundant number, since it is smaller than the sum of its proper divisors (308781609980457).

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

97516415001600 is an equidigital number, since it uses as much as digits as its factorization.

97516415001600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5928 (or 2956 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 45.

The spelling of 97516415001600 in words is "ninety-seven trillion, five hundred sixteen billion, four hundred fifteen million, one thousand, six hundred".