80601015600 has 480 divisors, whose sum is σ = 328955374080. Its totient is φ = 18361728000.

The previous prime is 80601015511. The next prime is 80601015613. The reversal of 80601015600 is 651010608.

80601015600 is a `hidden beast` number, since 8 + 0 + 601 + 0 + 1 + 56 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 25021990 + ... + 25025210.

It is an arithmetic number, because the mean of its divisors is an integer number (685323696).

Almost surely, 2^80601015600 is an apocalyptic number.

80601015600 is a gapful number since it is divisible by the number (80) 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 80601015600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164477687040).

80601015600 is an abundant number, since it is smaller than the sum of its proper divisors (248354358480).

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

80601015600 is a wasteful number, since it uses less digits than its factorization.

80601015600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3586 (or 3569 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The spelling of 80601015600 in words is "eighty billion, six hundred one million, fifteen thousand, six hundred".