80918913600 has 1344 divisors, whose sum is σ = 354770944000. Its totient is φ = 17923368960.

The previous prime is 80918913541. The next prime is 80918913619. The reversal of 80918913600 is 631981908.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 637156737 + ... + 637156863.

Almost surely, 2^80918913600 is an apocalyptic number.

80918913600 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 80918913600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177385472000).

80918913600 is an abundant number, since it is smaller than the sum of its proper divisors (273852030400).

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

80918913600 is a wasteful number, since it uses less digits than its factorization.

80918913600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 80918913600 in words is "eighty billion, nine hundred eighteen million, nine hundred thirteen thousand, six hundred".