117002591362320 has 640 divisors, whose sum is σ = 383721040281600. Its totient is φ = 29450403840000.

The previous prime is 117002591362291. The next prime is 117002591362333. The reversal of 117002591362320 is 23263195200711.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 83039453776 + ... + 83039455184.

It is an arithmetic number, because the mean of its divisors is an integer number (599564125440).

Almost surely, 2^{117002591362320} is an apocalyptic number.

117002591362320 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 117002591362320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191860520140800).

117002591362320 is an abundant number, since it is smaller than the sum of its proper divisors (266718448919280).

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

117002591362320 is a wasteful number, since it uses less digits than its factorization.

117002591362320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2599 (or 2593 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 117002591362320 in words is "one hundred seventeen trillion, two billion, five hundred ninety-one million, three hundred sixty-two thousand, three hundred twenty".