116250854400 has 528 divisors, whose sum is σ = 431101475200. Its totient is φ = 30695915520.

The previous prime is 116250854387. The next prime is 116250854431. The reversal of 116250854400 is 4458052611.

It is a happy number.

116250854400 is a `hidden beast` number, since 1 + 1 + 62 + 50 + 8 + 544 + 0 + 0 = 666.

It is a super-2 number, since 2×116250854400² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75340029 + ... + 75341571.

Almost surely, 2^116250854400 is an apocalyptic number.

116250854400 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 116250854400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215550737600).

116250854400 is an abundant number, since it is smaller than the sum of its proper divisors (314850620800).

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

116250854400 is a wasteful number, since it uses less digits than its factorization.

116250854400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1691 (or 1662 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 116250854400 in words is "one hundred sixteen billion, two hundred fifty million, eight hundred fifty-four thousand, four hundred".