117756010008000 has 3584 divisors, whose sum is σ = 552996347904000. Its totient is φ = 23863984128000.

The previous prime is 117756010007917. The next prime is 117756010008017. The reversal of 117756010008000 is 800010657711.

It is a happy number.

117756010008000 is a `hidden beast` number, since 1 + 1 + 7 + 7 + 560 + 10 + 0 + 0 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 511 ways as a sum of consecutive naturals, for example, 90791063352 + ... + 90791064648.

It is an arithmetic number, because the mean of its divisors is an integer number (154295856000).

Almost surely, 2^{117756010008000} is an apocalyptic number.

117756010008000 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 117756010008000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276498173952000).

117756010008000 is an abundant number, since it is smaller than the sum of its proper divisors (435240337896000).

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

117756010008000 is a wasteful number, since it uses less digits than its factorization.

117756010008000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1533 (or 1507 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 36.

The spelling of 117756010008000 in words is "one hundred seventeen trillion, seven hundred fifty-six billion, ten million, eight thousand".