85611418840320 has 576 divisors, whose sum is σ = 284334792376320. Its totient is φ = 21940770668544.

The previous prime is 85611418840307. The next prime is 85611418840349. The reversal of 85611418840320 is 2304881411658.

It is a happy number.

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, 2041895197 + ... + 2041937123.

It is an arithmetic number, because the mean of its divisors is an integer number (493636792320).

Almost surely, 2^{85611418840320} is an apocalyptic number.

85611418840320 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 85611418840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142167396188160).

85611418840320 is an abundant number, since it is smaller than the sum of its proper divisors (198723373536000).

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

85611418840320 is a wasteful number, since it uses less digits than its factorization.

85611418840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42210 (or 42196 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 51.

The spelling of 85611418840320 in words is "eighty-five trillion, six hundred eleven billion, four hundred eighteen million, eight hundred forty thousand, three hundred twenty".