85788944640 has 576 divisors, whose sum is σ = 350707230720. Its totient is φ = 19452026880.

The previous prime is 85788944639. The next prime is 85788944671. The reversal of 85788944640 is 4644988758.

85788944640 is a `hidden beast` number, since 8 + 5 + 7 + 88 + 94 + 464 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31690167 + ... + 31692873.

It is an arithmetic number, because the mean of its divisors is an integer number (608866720).

Almost surely, 2^85788944640 is an apocalyptic number.

85788944640 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 85788944640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175353615360).

85788944640 is an abundant number, since it is smaller than the sum of its proper divisors (264918286080).

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

85788944640 is a wasteful number, since it uses less digits than its factorization.

85788944640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2875 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 85788944640 in words is "eighty-five billion, seven hundred eighty-eight million, nine hundred forty-four thousand, six hundred forty".