85415907600 has 135 divisors (see below), whose sum is σ = 296477791909. Its totient is φ = 22772899200.

The previous prime is 85415907593. The next prime is 85415907613. The reversal of 85415907600 is 670951458.

The square root of 85415907600 is 292260.

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

85415907600 is a `hidden beast` number, since 8 + 54 + 1 + 590 + 7 + 6 + 0 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 30749726736 + 54666180864 = 175356^2 + 233808^2 .

It is a super-2 number, since 2×85415907600² (a number of 23 digits) contains 22 as substring.

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

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 17533165 + ... + 17538035.

Almost surely, 2^85415907600 is an apocalyptic number.

85415907600 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85415907600 is the 292260-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85415907600

85415907600 is an abundant number, since it is smaller than the sum of its proper divisors (211061884309).

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

85415907600 is an equidigital number, since it uses as much as digits as its factorization.

85415907600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9766 (or 4881 counting only the distinct ones).

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

The spelling of 85415907600 in words is "eighty-five billion, four hundred fifteen million, nine hundred seven thousand, six hundred".