85901553680 has 160 divisors (see below), whose sum is σ = 210678015744. Its totient is φ = 32510066688.

The previous prime is 85901553679. The next prime is 85901553821. The reversal of 85901553680 is 8635510958.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 109150247 + ... + 109151033.

Almost surely, 2^85901553680 is an apocalyptic number.

85901553680 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 85901553680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105339007872).

85901553680 is an abundant number, since it is smaller than the sum of its proper divisors (124776462064).

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

85901553680 is a wasteful number, since it uses less digits than its factorization.

85901553680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1393 (or 1387 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 50.

The spelling of 85901553680 in words is "eighty-five billion, nine hundred one million, five hundred fifty-three thousand, six hundred eighty".