80264997867600 has 5760 divisors, whose sum is σ = 395907652288512. Its totient is φ = 15135355699200.

The previous prime is 80264997867581. The next prime is 80264997867647. The reversal of 80264997867600 is 676879946208.

80264997867600 is a `hidden beast` number, since 8 + 0 + 2 + 6 + 4 + 9 + 9 + 7 + 8 + 6 + 7 + 600 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 312315166672 + ... + 312315166928.

Almost surely, 2^{80264997867600} is an apocalyptic number.

80264997867600 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 80264997867600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197953826144256).

80264997867600 is an abundant number, since it is smaller than the sum of its proper divisors (315642654420912).

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

80264997867600 is a wasteful number, since it uses less digits than its factorization.

80264997867600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 425 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 438939648, while the sum is 72.

The spelling of 80264997867600 in words is "eighty trillion, two hundred sixty-four billion, nine hundred ninety-seven million, eight hundred sixty-seven thousand, six hundred".