84909544911360 has 1920 divisors, whose sum is σ = 336126799008000. Its totient is φ = 20413810999296.

The previous prime is 84909544911349. The next prime is 84909544911439. The reversal of 84909544911360 is 6311944590948.

84909544911360 is a `hidden beast` number, since 8 + 4 + 9 + 0 + 9 + 5 + 4 + 491 + 136 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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, 170159408391 + ... + 170159408889.

It is an arithmetic number, because the mean of its divisors is an integer number (175066041150).

Almost surely, 2^{84909544911360} is an apocalyptic number.

84909544911360 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 84909544911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168063399504000).

84909544911360 is an abundant number, since it is smaller than the sum of its proper divisors (251217254096640).

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

84909544911360 is a wasteful number, since it uses less digits than its factorization.

84909544911360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1000 (or 972 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 84909544911360 in words is "eighty-four trillion, nine hundred nine billion, five hundred forty-four million, nine hundred eleven thousand, three hundred sixty".