117877457964000 has 1536 divisors, whose sum is σ = 476322256650240. Its totient is φ = 24891052032000.

The previous prime is 117877457963987. The next prime is 117877457964043. The reversal of 117877457964000 is 469754778711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 35515954341 + ... + 35515957659.

It is an arithmetic number, because the mean of its divisors is an integer number (310105635840).

Almost surely, 2^{117877457964000} is an apocalyptic number.

117877457964000 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 117877457964000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238161128325120).

117877457964000 is an abundant number, since it is smaller than the sum of its proper divisors (358444798686240).

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

117877457964000 is a wasteful number, since it uses less digits than its factorization.

117877457964000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4001 (or 3983 counting only the distinct ones).

The product of its (nonzero) digits is 82978560, while the sum is 66.

The spelling of 117877457964000 in words is "one hundred seventeen trillion, eight hundred seventy-seven billion, four hundred fifty-seven million, nine hundred sixty-four thousand".