116279620128000 has 2592 divisors, whose sum is σ = 506504903224320. Its totient is φ = 25511915520000.

The previous prime is 116279620127959. The next prime is 116279620128011. The reversal of 116279620128000 is 821026972611.

116279620128000 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 7 + 9 + 620 + 12 + 8 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×116279620128000² (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 57308830986 + ... + 57308833014.

Almost surely, 2^{116279620128000} is an apocalyptic number.

116279620128000 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 116279620128000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253252451612160).

116279620128000 is an abundant number, since it is smaller than the sum of its proper divisors (390225283096320).

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

116279620128000 is a wasteful number, since it uses less digits than its factorization.

116279620128000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2242 (or 2208 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 116279620128000 in words is "one hundred sixteen trillion, two hundred seventy-nine billion, six hundred twenty million, one hundred twenty-eight thousand".