116362128960 has 448 divisors, whose sum is σ = 511794800640. Its totient is φ = 24179005440.

The previous prime is 116362128959. The next prime is 116362128979. The reversal of 116362128960 is 69821263611.

116362128960 is a `hidden beast` number, since 1 + 1 + 6 + 362 + 1 + 289 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×116362128960² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 577827 + ... + 752733.

Almost surely, 2^116362128960 is an apocalyptic number.

116362128960 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 116362128960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255897400320).

116362128960 is an abundant number, since it is smaller than the sum of its proper divisors (395432671680).

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

116362128960 is a wasteful number, since it uses less digits than its factorization.

116362128960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174951 (or 174935 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The spelling of 116362128960 in words is "one hundred sixteen billion, three hundred sixty-two million, one hundred twenty-eight thousand, nine hundred sixty".