117609001548480 has 1120 divisors, whose sum is σ = 474531091372800. Its totient is φ = 27409953595392.

The previous prime is 117609001548469. The next prime is 117609001548497. The reversal of 117609001548480 is 84845100906711.

117609001548480 is a `hidden beast` number, since 1 + 1 + 7 + 6 + 0 + 9 + 0 + 0 + 154 + 8 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 13335861511 + ... + 13335870329.

It is an arithmetic number, because the mean of its divisors is an integer number (423688474440).

Almost surely, 2^{117609001548480} is an apocalyptic number.

117609001548480 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 117609001548480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237265545686400).

117609001548480 is an abundant number, since it is smaller than the sum of its proper divisors (356922089824320).

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

117609001548480 is a wasteful number, since it uses less digits than its factorization.

117609001548480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10963 (or 10944 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 117609001548480 in words is "one hundred seventeen trillion, six hundred nine billion, one million, five hundred forty-eight thousand, four hundred eighty".