85892627251200 has 2880 divisors, whose sum is σ = 382506837995520. Its totient is φ = 16471031808000.

The previous prime is 85892627251163. The next prime is 85892627251201. The reversal of 85892627251200 is 215272629858.

85892627251200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×85892627251200² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85892627251201) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 63109938520 + ... + 63109939880.

It is an arithmetic number, because the mean of its divisors is an integer number (132814874304).

Almost surely, 2^{85892627251200} is an apocalyptic number.

85892627251200 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85892627251200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191253418997760).

85892627251200 is an abundant number, since it is smaller than the sum of its proper divisors (296614210744320).

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

85892627251200 is a wasteful number, since it uses less digits than its factorization.

85892627251200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1441 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 57.

The spelling of 85892627251200 in words is "eighty-five trillion, eight hundred ninety-two billion, six hundred twenty-seven million, two hundred fifty-one thousand, two hundred".