117516005376 has 468 divisors, whose sum is σ = 400891588776. Its totient is φ = 30504714240.

The previous prime is 117516005323. The next prime is 117516005381. The reversal of 117516005376 is 673500615711.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 72854746 + ... + 72856358.

Almost surely, 2^117516005376 is an apocalyptic number.

117516005376 is a gapful number since it is divisible by the number (16) 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 117516005376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200445794388).

117516005376 is an abundant number, since it is smaller than the sum of its proper divisors (283375583400).

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

117516005376 is a wasteful number, since it uses less digits than its factorization.

117516005376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1636 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 117516005376 in words is "one hundred seventeen billion, five hundred sixteen million, five thousand, three hundred seventy-six".