85708800000 has 768 divisors, whose sum is σ = 327654028800. Its totient is φ = 22118400000.

The previous prime is 85708799977. The next prime is 85708800029. The reversal of 85708800000 is 880758.

85708800000 is a `hidden beast` number, since 8 + 570 + 8 + 80 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2764799985 + ... + 2764800015.

It is an arithmetic number, because the mean of its divisors is an integer number (426632850).

Almost surely, 2^85708800000 is an apocalyptic number.

85708800000 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 85708800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163827014400).

85708800000 is an abundant number, since it is smaller than the sum of its proper divisors (241945228800).

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

85708800000 is an frugal number, since it uses more digits than its factorization.

85708800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 17920, while the sum is 36.

The spelling of 85708800000 in words is "eighty-five billion, seven hundred eight million, eight hundred thousand".