85634909360 has 480 divisors, whose sum is σ = 275188243968. Its totient is φ = 24052654080.

The previous prime is 85634909359. The next prime is 85634909447. The reversal of 85634909360 is 6390943658.

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, 44763764 + ... + 44765676.

Almost surely, 2^85634909360 is an apocalyptic number.

85634909360 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 85634909360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137594121984).

85634909360 is an abundant number, since it is smaller than the sum of its proper divisors (189553334608).

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

85634909360 is a wasteful number, since it uses less digits than its factorization.

85634909360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2013 (or 1994 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 53.

The spelling of 85634909360 in words is "eighty-five billion, six hundred thirty-four million, nine hundred nine thousand, three hundred sixty".