117407451863520 has 1152 divisors, whose sum is σ = 513136375315200. Its totient is φ = 23917355384832.

The previous prime is 117407451863489. The next prime is 117407451863521. The reversal of 117407451863520 is 25368154704711.

117407451863520 is a `hidden beast` number, since 1 + 1 + 7 + 4 + 0 + 7 + 4 + 51 + 8 + 63 + 520 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (117407451863521) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 642135634 + ... + 642318446.

It is an arithmetic number, because the mean of its divisors is an integer number (445430881350).

Almost surely, 2^{117407451863520} is an apocalyptic number.

117407451863520 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 117407451863520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256568187657600).

117407451863520 is an abundant number, since it is smaller than the sum of its proper divisors (395728923451680).

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

117407451863520 is a wasteful number, since it uses less digits than its factorization.

117407451863520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182909 (or 182872 counting only the distinct ones).

The product of its (nonzero) digits is 5644800, while the sum is 54.

The spelling of 117407451863520 in words is "one hundred seventeen trillion, four hundred seven billion, four hundred fifty-one million, eight hundred sixty-three thousand, five hundred twenty".