87294638785600 has 189 divisors, whose sum is σ = 216276168072783. Its totient is φ = 34679418071040.

The previous prime is 87294638785493. The next prime is 87294638785621. The reversal of 87294638785600 is 658783649278.

The square root of 87294638785600 is 9343160.

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 4069450874944 + 83225187910656 = 2017288^2 + 9122784^2 .

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, 60917402484 + ... + 60917403916.

Almost surely, 2^{87294638785600} is an apocalyptic number.

87294638785600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

87294638785600 is the 9343160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87294638785600

87294638785600 is an abundant number, since it is smaller than the sum of its proper divisors (128981529287183).

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

87294638785600 is an frugal number, since it uses more digits than its factorization.

87294638785600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3214 (or 1603 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 73.

The spelling of 87294638785600 in words is "eighty-seven trillion, two hundred ninety-four billion, six hundred thirty-eight million, seven hundred eighty-five thousand, six hundred".