85272239700 has 180 divisors, whose sum is σ = 292679322012. Its totient is φ = 21401625600.

The previous prime is 85272239687. The next prime is 85272239719. The reversal of 85272239700 is 793227258.

85272239700 is a `hidden beast` number, since 8 + 527 + 22 + 39 + 70 + 0 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 63504 + 85272176196 = 252^2 + 292014^2 .

It is a tau number, because it is divible by the number of its divisors (180).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 171931 + ... + 447330.

Almost surely, 2^85272239700 is an apocalyptic number.

It is an amenable number.

85272239700 is an abundant number, since it is smaller than the sum of its proper divisors (207407082312).

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

85272239700 is a wasteful number, since it uses less digits than its factorization.

85272239700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 619304 (or 619288 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 85272239700 in words is "eighty-five billion, two hundred seventy-two million, two hundred thirty-nine thousand, seven hundred".