85538700900 has 81 divisors (see below), whose sum is σ = 268143810571. Its totient is φ = 22807980480.

The previous prime is 85538700893. The next prime is 85538700901. The reversal of 85538700900 is 900783558.

The square root of 85538700900 is 292470.

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

85538700900 is a `hidden beast` number, since 8 + 553 + 8 + 7 + 0 + 0 + 90 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 22469410404 + 63069290496 = 149898^2 + 251136^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (85538700901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8769226 + ... + 8778974.

Almost surely, 2^85538700900 is an apocalyptic number.

85538700900 is the 292470-th square number.

It is an amenable number.

85538700900 is an abundant number, since it is smaller than the sum of its proper divisors (182605109671).

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

85538700900 is an equidigital number, since it uses as much as digits as its factorization.

85538700900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19518 (or 9759 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 45.

The spelling of 85538700900 in words is "eighty-five billion, five hundred thirty-eight million, seven hundred thousand, nine hundred".