80080410272400 has 300 divisors, whose sum is σ = 288690991260672. Its totient is φ = 21259012826880.

The previous prime is 80080410272339. The next prime is 80080410272431. The reversal of 80080410272400 is 427201408008.

80080410272400 is a `hidden beast` number, since 8 + 0 + 0 + 80 + 4 + 102 + 72 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (300).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 1683457 + ... + 12766943.

Almost surely, 2^{80080410272400} is an apocalyptic number.

80080410272400 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 80080410272400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144345495630336).

80080410272400 is an abundant number, since it is smaller than the sum of its proper divisors (208610580988272).

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

80080410272400 is a wasteful number, since it uses less digits than its factorization.

80080410272400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11083740 (or 11083720 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 80080410272400 in words is "eighty trillion, eighty billion, four hundred ten million, two hundred seventy-two thousand, four hundred".