21160431452160 has 1944 divisors, whose sum is σ = 100250978392656. Its totient is φ = 4058744094720.

The previous prime is 21160431452081. The next prime is 21160431452191. The reversal of 21160431452160 is 6125413406112.

21160431452160 is a `hidden beast` number, since 2 + 1 + 1 + 6 + 0 + 43 + 1 + 452 + 160 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1627725496314 + ... + 1627725496326.

Almost surely, 2^{21160431452160} is an apocalyptic number.

21160431452160 is a gapful number since it is divisible by the number (20) 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 21160431452160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (50125489196328).

21160431452160 is an abundant number, since it is smaller than the sum of its proper divisors (79090546940496).

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

21160431452160 is an frugal number, since it uses more digits than its factorization.

21160431452160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 21160431452160 its reverse (6125413406112), we get a palindrome (27285844858272).

The spelling of 21160431452160 in words is "twenty-one trillion, one hundred sixty billion, four hundred thirty-one million, four hundred fifty-two thousand, one hundred sixty".