21981628272960 has 896 divisors, whose sum is σ = 82961453990400. Its totient is φ = 5462917447680.

The previous prime is 21981628272953. The next prime is 21981628273027. The reversal of 21981628272960 is 6927282618912.

21981628272960 is a `hidden beast` number, since 2 + 198 + 16 + 282 + 72 + 96 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5045127102 + ... + 5045131458.

Almost surely, 2^{21981628272960} is an apocalyptic number.

21981628272960 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 21981628272960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41480726995200).

21981628272960 is an abundant number, since it is smaller than the sum of its proper divisors (60979825717440).

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

21981628272960 is a wasteful number, since it uses less digits than its factorization.

21981628272960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4896 (or 4880 counting only the distinct ones).

The product of its (nonzero) digits is 20901888, while the sum is 63.

The spelling of 21981628272960 in words is "twenty-one trillion, nine hundred eighty-one billion, six hundred twenty-eight million, two hundred seventy-two thousand, nine hundred sixty".