93896875201600 has 189 divisors, whose sum is σ = 232676791145487. Its totient is φ = 37295336033280.

The previous prime is 93896875201589. The next prime is 93896875201621. The reversal of 93896875201600 is 610257869839.

The square root of 93896875201600 is 9690040.

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

It can be written as a sum of positive squares in 4 ways, for example, as 11356306887744 + 82540568313856 = 3369912^2 + 9085184^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 60853450429 + ... + 60853451971.

Almost surely, 2^{93896875201600} is an apocalyptic number.

93896875201600 is the 9690040-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 93896875201600

93896875201600 is an abundant number, since it is smaller than the sum of its proper divisors (138779915943887).

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

93896875201600 is an frugal number, since it uses more digits than its factorization.

93896875201600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3422 (or 1707 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 64.

93896875201600 divided by its sum of digits (64) gives a square (1467138675025 = 1211255²).

The spelling of 93896875201600 in words is "ninety-three trillion, eight hundred ninety-six billion, eight hundred seventy-five million, two hundred one thousand, six hundred".