85713638400000 has 1344 divisors, whose sum is σ = 341870850115200. Its totient is φ = 21096529920000.

The previous prime is 85713638399999. The next prime is 85713638400053. The reversal of 85713638400000 is 483631758.

85713638400000 is a `hidden beast` number, since 8 + 5 + 7 + 1 + 3 + 638 + 4 + 0 + 0 + 0 + 0 + 0 = 666.

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 95 ways as a sum of consecutive naturals, for example, 8985595231 + ... + 8985604769.

It is an arithmetic number, because the mean of its divisors is an integer number (254368192050).

Almost surely, 2^{85713638400000} is an apocalyptic number.

85713638400000 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 85713638400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170935425057600).

85713638400000 is an abundant number, since it is smaller than the sum of its proper divisors (256157211715200).

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

85713638400000 is an frugal number, since it uses more digits than its factorization.

85713638400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9612 (or 9562 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 85713638400000 in words is "eighty-five trillion, seven hundred thirteen billion, six hundred thirty-eight million, four hundred thousand".