13642292160 has 672 divisors, whose sum is σ = 56556444672. Its totient is φ = 3065610240.

The previous prime is 13642292149. The next prime is 13642292173. The reversal of 13642292160 is 6129224631.

It is a happy number.

13642292160 is a `hidden beast` number, since 1 + 3 + 642 + 2 + 9 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×13642292160² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 95 ways as a sum of consecutive naturals, for example, 38646544 + ... + 38646896.

It is an arithmetic number, because the mean of its divisors is an integer number (84161376).

Almost surely, 2^13642292160 is an apocalyptic number.

13642292160 is a gapful number since it is divisible by the number (10) 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 13642292160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28278222336).

13642292160 is an abundant number, since it is smaller than the sum of its proper divisors (42914152512).

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

13642292160 is an equidigital number, since it uses as much as digits as its factorization.

13642292160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463 (or 441 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13642292160 in words is "thirteen billion, six hundred forty-two million, two hundred ninety-two thousand, one hundred sixty".