117285740881920 has 3072 divisors, whose sum is σ = 481461926400000. Its totient is φ = 26874910605312.

The previous prime is 117285740881877. The next prime is 117285740881957. The reversal of 117285740881920 is 29188047582711.

117285740881920 is a `hidden beast` number, since 1 + 1 + 7 + 28 + 574 + 0 + 8 + 8 + 19 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (3072).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 436006471546 + ... + 436006471814.

It is an arithmetic number, because the mean of its divisors is an integer number (156725887500).

Almost surely, 2^{117285740881920} is an apocalyptic number.

117285740881920 is a gapful number since it is divisible by the number (10) 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 117285740881920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240730963200000).

117285740881920 is an abundant number, since it is smaller than the sum of its proper divisors (364176185518080).

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

117285740881920 is a wasteful number, since it uses less digits than its factorization.

117285740881920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 483 (or 457 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 117285740881920 in words is "one hundred seventeen trillion, two hundred eighty-five billion, seven hundred forty million, eight hundred eighty-one thousand, nine hundred twenty".