116259148800 has 1056 divisors, whose sum is σ = 456159375360. Its totient is φ = 28952985600.

The previous prime is 116259148763. The next prime is 116259148801. The reversal of 116259148800 is 8841952611.

It is a happy number.

116259148800 is a `hidden beast` number, since 1 + 1 + 625 + 9 + 14 + 8 + 8 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116259148801) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1128729549 + ... + 1128729651.

Almost surely, 2^116259148800 is an apocalyptic number.

116259148800 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 116259148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228079687680).

116259148800 is an abundant number, since it is smaller than the sum of its proper divisors (339900226560).

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

116259148800 is a wasteful number, since it uses less digits than its factorization.

116259148800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 116259148800 in words is "one hundred sixteen billion, two hundred fifty-nine million, one hundred forty-eight thousand, eight hundred".