80518401849600 has 3888 divisors, whose sum is σ = 356329856762880. Its totient is φ = 17211211776000.

The previous prime is 80518401849527. The next prime is 80518401849623. The reversal of 80518401849600 is 694810481508.

It is a happy number.

80518401849600 is a `hidden beast` number, since 8 + 0 + 5 + 18 + 4 + 0 + 18 + 4 + 9 + 600 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 306153619069 + ... + 306153619331.

Almost surely, 2^{80518401849600} is an apocalyptic number.

80518401849600 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 80518401849600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178164928381440).

80518401849600 is an abundant number, since it is smaller than the sum of its proper divisors (275811454913280).

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

80518401849600 is a wasteful number, since it uses less digits than its factorization.

80518401849600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 470 (or 437 counting only the distinct ones).

The product of its (nonzero) digits is 2211840, while the sum is 54.

The spelling of 80518401849600 in words is "eighty trillion, five hundred eighteen billion, four hundred one million, eight hundred forty-nine thousand, six hundred".