117257266560 has 512 divisors, whose sum is σ = 438172416000. Its totient is φ = 26660315136.

The previous prime is 117257266559. The next prime is 117257266591. The reversal of 117257266560 is 65662752711.

It is a super-2 number, since 2×117257266560² (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173200942 + ... + 173201618.

It is an arithmetic number, because the mean of its divisors is an integer number (855805500).

Almost surely, 2^117257266560 is an apocalyptic number.

117257266560 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 117257266560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219086208000).

117257266560 is an abundant number, since it is smaller than the sum of its proper divisors (320915149440).

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

117257266560 is an equidigital number, since it uses as much as digits as its factorization.

117257266560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 983 (or 957 counting only the distinct ones).

The product of its (nonzero) digits is 1058400, while the sum is 48.

The spelling of 117257266560 in words is "one hundred seventeen billion, two hundred fifty-seven million, two hundred sixty-six thousand, five hundred sixty".