42592502160 has 1200 divisors, whose sum is σ = 177923433600. Its totient is φ = 9393905664.

The previous prime is 42592502143. The next prime is 42592502237. The reversal of 42592502160 is 6120529524.

42592502160 is a `hidden beast` number, since 4 + 2 + 5 + 92 + 502 + 1 + 60 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 478567396 + ... + 478567484.

It is an arithmetic number, because the mean of its divisors is an integer number (148269528).

Almost surely, 2^42592502160 is an apocalyptic number.

42592502160 is a gapful number since it is divisible by the number (40) 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 42592502160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88961716800).

42592502160 is an abundant number, since it is smaller than the sum of its proper divisors (135330931440).

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

42592502160 is a wasteful number, since it uses less digits than its factorization.

42592502160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 42592502160 in words is "forty-two billion, five hundred ninety-two million, five hundred two thousand, one hundred sixty".