85361622157440 has 1536 divisors, whose sum is σ = 315450304977600. Its totient is φ = 21241095782400.

The previous prime is 85361622157439. The next prime is 85361622157459. The reversal of 85361622157440 is 4475122616358.

85361622157440 is a `hidden beast` number, since 8 + 5 + 3 + 6 + 1 + 6 + 2 + 21 + 574 + 40 = 666.

It can be written as a sum of positive squares in 32 ways, for example, as 2658021558336 + 82703600599104 = 1630344^2 + 9094152^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157784883570 + ... + 157784884110.

Almost surely, 2^{85361622157440} is an apocalyptic number.

85361622157440 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 85361622157440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157725152488800).

85361622157440 is an abundant number, since it is smaller than the sum of its proper divisors (230088682820160).

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

85361622157440 is a wasteful number, since it uses less digits than its factorization.

85361622157440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 931 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 85361622157440 in words is "eighty-five trillion, three hundred sixty-one billion, six hundred twenty-two million, one hundred fifty-seven thousand, four hundred forty".