85278937497600 has 2880 divisors, whose sum is σ = 370711472947200. Its totient is φ = 16772077977600.

The previous prime is 85278937497563. The next prime is 85278937497613. The reversal of 85278937497600 is 679473987258.

85278937497600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (75).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 324254515069 + ... + 324254515331.

It is an arithmetic number, because the mean of its divisors is an integer number (128719261440).

Almost surely, 2^{85278937497600} is an apocalyptic number.

85278937497600 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 85278937497600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185355736473600).

85278937497600 is an abundant number, since it is smaller than the sum of its proper divisors (285432535449600).

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

85278937497600 is a wasteful number, since it uses less digits than its factorization.

85278937497600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 494 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 1280240640, while the sum is 75.

The spelling of 85278937497600 in words is "eighty-five trillion, two hundred seventy-eight billion, nine hundred thirty-seven million, four hundred ninety-seven thousand, six hundred".