116268977520 has 240 divisors, whose sum is σ = 403156196352. Its totient is φ = 30009692160.

The previous prime is 116268977507. The next prime is 116268977527. The reversal of 116268977520 is 25779862611.

116268977520 is a `hidden beast` number, since 1 + 1 + 6 + 26 + 8 + 97 + 7 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (116268977527) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3733534 + ... + 3764546.

Almost surely, 2^116268977520 is an apocalyptic number.

116268977520 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 116268977520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201578098176).

116268977520 is an abundant number, since it is smaller than the sum of its proper divisors (286887218832).

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

116268977520 is a wasteful number, since it uses less digits than its factorization.

116268977520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31200 (or 31191 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 116268977520 in words is "one hundred sixteen billion, two hundred sixty-eight million, nine hundred seventy-seven thousand, five hundred twenty".