85275680400 has 405 divisors, whose sum is σ = 307744454043. Its totient is φ = 21866457600.

The previous prime is 85275680323. The next prime is 85275680411. The reversal of 85275680400 is 408657258.

The square root of 85275680400 is 292020.

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

85275680400 is a `hidden beast` number, since 8 + 527 + 5 + 6 + 80 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10313621136 + 74962059264 = 101556^2 + 273792^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 543157122 + ... + 543157278.

Almost surely, 2^85275680400 is an apocalyptic number.

85275680400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

85275680400 is the 292020-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85275680400

85275680400 is an abundant number, since it is smaller than the sum of its proper divisors (222468773643).

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

85275680400 is a wasteful number, since it uses less digits than its factorization.

85275680400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

It can be divided in two parts, 852756 and 80400, that added together give a square (933156 = 966²).

The spelling of 85275680400 in words is "eighty-five billion, two hundred seventy-five million, six hundred eighty thousand, four hundred".