80480477937600 has 2016 divisors, whose sum is σ = 331235439575040. Its totient is φ = 18382049280000.

The previous prime is 80480477937547. The next prime is 80480477937641. The reversal of 80480477937600 is 673977408408.

80480477937600 is a `hidden beast` number, since 8 + 0 + 4 + 8 + 0 + 477 + 93 + 76 + 0 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 25412211217 + ... + 25412214383.

It is an arithmetic number, because the mean of its divisors is an integer number (164303293440).

Almost surely, 2^{80480477937600} is an apocalyptic number.

80480477937600 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 80480477937600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165617719787520).

80480477937600 is an abundant number, since it is smaller than the sum of its proper divisors (250754961637440).

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

80480477937600 is a wasteful number, since it uses less digits than its factorization.

80480477937600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3419 (or 3401 counting only the distinct ones).

The product of its (nonzero) digits is 56899584, while the sum is 63.

The spelling of 80480477937600 in words is "eighty trillion, four hundred eighty billion, four hundred seventy-seven million, nine hundred thirty-seven thousand, six hundred".