115667635320 has 192 divisors, whose sum is σ = 395995392000. Its totient is φ = 29199861504.

The previous prime is 115667635309. The next prime is 115667635337. The reversal of 115667635320 is 23536766511.

115667635320 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 6 + 7 + 635 + 3 + 2 + 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 an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10658137 + ... + 10668983.

It is an arithmetic number, because the mean of its divisors is an integer number (2062476000).

Almost surely, 2^115667635320 is an apocalyptic number.

115667635320 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 115667635320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197997696000).

115667635320 is an abundant number, since it is smaller than the sum of its proper divisors (280327756680).

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

115667635320 is a wasteful number, since it uses less digits than its factorization.

115667635320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12442 (or 12435 counting only the distinct ones).

The product of its (nonzero) digits is 680400, while the sum is 45.

The spelling of 115667635320 in words is "one hundred fifteen billion, six hundred sixty-seven million, six hundred thirty-five thousand, three hundred twenty".