117951761262720 has 4608 divisors, whose sum is σ = 531271822233600. Its totient is φ = 22092831129600.

The previous prime is 117951761262707. The next prime is 117951761262793. The reversal of 117951761262720 is 27262167159711.

It is a Harshad number since it is a multiple of its sum of digits (57).

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 575 ways as a sum of consecutive naturals, for example, 416790675699 + ... + 416790675981.

It is an arithmetic number, because the mean of its divisors is an integer number (115293364200).

Almost surely, 2^{117951761262720} is an apocalyptic number.

117951761262720 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 117951761262720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265635911116800).

117951761262720 is an abundant number, since it is smaller than the sum of its proper divisors (413320060970880).

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

117951761262720 is a wasteful number, since it uses less digits than its factorization.

117951761262720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 448 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 4445280, while the sum is 57.

The spelling of 117951761262720 in words is "one hundred seventeen trillion, nine hundred fifty-one billion, seven hundred sixty-one million, two hundred sixty-two thousand, seven hundred twenty".