80427157403904 has 720 divisors, whose sum is σ = 263024206663680. Its totient is φ = 24348654120960.

The previous prime is 80427157403893. The next prime is 80427157403927. The reversal of 80427157403904 is 40930475172408.

80427157403904 is a `hidden beast` number, since 80 + 4 + 2 + 7 + 157 + 403 + 9 + 0 + 4 = 666.

It is a super-3 number, since 3×80427157403904³ (a number of 43 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1306814157 + ... + 1306875699.

It is an arithmetic number, because the mean of its divisors is an integer number (365311398144).

Almost surely, 2^{80427157403904} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80427157403904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131512103331840).

80427157403904 is an abundant number, since it is smaller than the sum of its proper divisors (182597049259776).

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

80427157403904 is a wasteful number, since it uses less digits than its factorization.

80427157403904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61728 (or 61705 counting only the distinct ones).

The product of its (nonzero) digits is 6773760, while the sum is 54.

The spelling of 80427157403904 in words is "eighty trillion, four hundred twenty-seven billion, one hundred fifty-seven million, four hundred three thousand, nine hundred four".