80601503673600 has 7776 divisors, whose sum is σ = 406087608729600. Its totient is φ = 15542643916800.

The previous prime is 80601503673599. The next prime is 80601503673683. The reversal of 80601503673600 is 637630510608.

80601503673600 is a `hidden beast` number, since 8 + 0 + 6 + 0 + 1 + 5 + 0 + 36 + 7 + 3 + 600 = 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 863 ways as a sum of consecutive naturals, for example, 1020272198361 + ... + 1020272198439.

Almost surely, 2^{80601503673600} is an apocalyptic number.

80601503673600 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 80601503673600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203043804364800).

80601503673600 is an abundant number, since it is smaller than the sum of its proper divisors (325486105056000).

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

80601503673600 is a wasteful number, since it uses less digits than its factorization.

80601503673600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208 (or 163 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 80601503673600 in words is "eighty trillion, six hundred one billion, five hundred three million, six hundred seventy-three thousand, six hundred".