21696254300160 has 1248 divisors, whose sum is σ = 85472898900480. Its totient is φ = 5235425280000.

The previous prime is 21696254300137. The next prime is 21696254300179. The reversal of 21696254300160 is 6100345269612.

21696254300160 is a `hidden beast` number, since 2 + 1 + 6 + 9 + 625 + 4 + 3 + 0 + 0 + 16 + 0 = 666.

It is a super-2 number, since 2×21696254300160² (a number of 27 digits) contains 22 as substring.

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

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, 13740502251 + ... + 13740503829.

It is an arithmetic number, because the mean of its divisors is an integer number (68487899760).

Almost surely, 2^{21696254300160} is an apocalyptic number.

21696254300160 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 21696254300160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42736449450240).

21696254300160 is an abundant number, since it is smaller than the sum of its proper divisors (63776644600320).

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

21696254300160 is a wasteful number, since it uses less digits than its factorization.

21696254300160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1885 (or 1851 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

Adding to 21696254300160 its reverse (6100345269612), we get a palindrome (27796599569772).

The spelling of 21696254300160 in words is "twenty-one trillion, six hundred ninety-six billion, two hundred fifty-four million, three hundred thousand, one hundred sixty".