21488254736256 has 512 divisors, whose sum is σ = 80683044480000. Its totient is φ = 5581361479680.

The previous prime is 21488254736209. The next prime is 21488254736323. The reversal of 21488254736256 is 65263745288412.

21488254736256 is a `hidden beast` number, since 2 + 1 + 4 + 8 + 8 + 2 + 547 + 36 + 2 + 56 = 666.

It is a super-2 number, since 2×21488254736256² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 21488254736193 and 21488254736202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12215520 + ... + 13863456.

It is an arithmetic number, because the mean of its divisors is an integer number (157584071250).

Almost surely, 2^{21488254736256} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21488254736256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40341522240000).

21488254736256 is an abundant number, since it is smaller than the sum of its proper divisors (59194789743744).

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

21488254736256 is a wasteful number, since it uses less digits than its factorization.

21488254736256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1647992 (or 1647960 counting only the distinct ones).

The product of its digits is 154828800, while the sum is 63.

The spelling of 21488254736256 in words is "twenty-one trillion, four hundred eighty-eight billion, two hundred fifty-four million, seven hundred thirty-six thousand, two hundred fifty-six".