85677978937600 has 243 divisors, whose sum is σ = 246704393877627. Its totient is φ = 29373529866240.

The previous prime is 85677978937589. The next prime is 85677978937627. The reversal of 85677978937600 is 673987977658.

The square root of 85677978937600 is 9256240.

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 9054706882816 + 76623272054784 = 3009104^2 + 8753472^2 .

It is a super-4 number, since 4×85677978937600⁴ (a number of 57 digits) contains 4444 as substring.

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, 5183486136 + ... + 5183502664.

Almost surely, 2^{85677978937600} is an apocalyptic number.

85677978937600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85677978937600 is the 9256240-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85677978937600

85677978937600 is an abundant number, since it is smaller than the sum of its proper divisors (161026414940027).

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

85677978937600 is an frugal number, since it uses more digits than its factorization.

85677978937600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33098 (or 16543 counting only the distinct ones).

The product of its (nonzero) digits is 6721263360, while the sum is 82.

The spelling of 85677978937600 in words is "eighty-five trillion, six hundred seventy-seven billion, nine hundred seventy-eight million, nine hundred thirty-seven thousand, six hundred".