85076585440 has 384 divisors, whose sum is σ = 260620416000. Its totient is φ = 25465896960.

The previous prime is 85076585389. The next prime is 85076585453. The reversal of 85076585440 is 4458567058.

It is a happy number.

It is a hoax number, since the sum of its digits (52) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 81102036 + ... + 81103084.

It is an arithmetic number, because the mean of its divisors is an integer number (678699000).

Almost surely, 2^85076585440 is an apocalyptic number.

85076585440 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 85076585440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130310208000).

85076585440 is an abundant number, since it is smaller than the sum of its proper divisors (175543830560).

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

85076585440 is a wasteful number, since it uses less digits than its factorization.

85076585440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338 (or 1330 counting only the distinct ones).

The product of its (nonzero) digits is 5376000, while the sum is 52.

The spelling of 85076585440 in words is "eighty-five billion, seventy-six million, five hundred eighty-five thousand, four hundred forty".