80525158560 has 1920 divisors, whose sum is σ = 387799695360. Its totient is φ = 15228518400.

The previous prime is 80525158547. The next prime is 80525158589. The reversal of 80525158560 is 6585152508.

80525158560 is a `hidden beast` number, since 8 + 0 + 5 + 2 + 5 + 1 + 585 + 60 = 666.

It is a super-2 number, since 2×80525158560² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 587774812 + ... + 587774948.

It is an arithmetic number, because the mean of its divisors is an integer number (201979008).

Almost surely, 2^80525158560 is an apocalyptic number.

80525158560 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 80525158560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193899847680).

80525158560 is an abundant number, since it is smaller than the sum of its proper divisors (307274536800).

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

80525158560 is a wasteful number, since it uses less digits than its factorization.

80525158560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 215 counting only the distinct ones).

The product of its (nonzero) digits is 480000, while the sum is 45.

The spelling of 80525158560 in words is "eighty billion, five hundred twenty-five million, one hundred fifty-eight thousand, five hundred sixty".