85807088640 has 1408 divisors, whose sum is σ = 396168192000. Its totient is φ = 17103716352.

The previous prime is 85807088573. The next prime is 85807088657. The reversal of 85807088640 is 4688070858.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 239016781 + ... + 239017139.

Almost surely, 2^85807088640 is an apocalyptic number.

85807088640 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 85807088640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198084096000).

85807088640 is an abundant number, since it is smaller than the sum of its proper divisors (310361103360).

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

85807088640 is a wasteful number, since it uses less digits than its factorization.

85807088640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 408 counting only the distinct ones).

The product of its (nonzero) digits is 3440640, while the sum is 54.

The spelling of 85807088640 in words is "eighty-five billion, eight hundred seven million, eighty-eight thousand, six hundred forty".