85640377088 has 216 divisors, whose sum is σ = 207718850976. Its totient is φ = 34508390400.

The previous prime is 85640377087. The next prime is 85640377091. The reversal of 85640377088 is 88077304658.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is not an unprimeable number, because it can be changed into a prime (85640377087) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57825308 + ... + 57826788.

Almost surely, 2^85640377088 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85640377088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103859425488).

85640377088 is an abundant number, since it is smaller than the sum of its proper divisors (122078473888).

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

85640377088 is a wasteful number, since it uses less digits than its factorization.

85640377088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1611 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 56.

The spelling of 85640377088 in words is "eighty-five billion, six hundred forty million, three hundred seventy-seven thousand, eighty-eight".