80200968242400 has 252 divisors, whose sum is σ = 293551635602232. Its totient is φ = 21386924709120.

The previous prime is 80200968242377. The next prime is 80200968242501. The reversal of 80200968242400 is 424286900208.

80200968242400 is a `hidden beast` number, since 80 + 2 + 0 + 0 + 96 + 82 + 4 + 2 + 400 = 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 41 ways as a sum of consecutive naturals, for example, 68176204 + ... + 69342603.

It is an arithmetic number, because the mean of its divisors is an integer number (1164887442866).

Almost surely, 2^{80200968242400} is an apocalyptic number.

80200968242400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

80200968242400 is an abundant number, since it is smaller than the sum of its proper divisors (213350667359832).

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

80200968242400 is a wasteful number, since it uses less digits than its factorization.

80200968242400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137518845 (or 137518817 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 80200968242400 in words is "eighty trillion, two hundred billion, nine hundred sixty-eight million, two hundred forty-two thousand, four hundred".