21725429983488 has 2160 divisors, whose sum is σ = 85283234624000. Its totient is φ = 5445290188800.

The previous prime is 21725429983471. The next prime is 21725429983511. The reversal of 21725429983488 is 88438992452712.

21725429983488 is a `hidden beast` number, since 2 + 1 + 7 + 2 + 5 + 429 + 98 + 34 + 88 = 666.

It is a super-2 number, since 2×21725429983488² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 62250515538 + ... + 62250515886.

Almost surely, 2^{21725429983488} is an apocalyptic number.

21725429983488 is a gapful number since it is divisible by the number (28) 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 21725429983488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42641617312000).

21725429983488 is an abundant number, since it is smaller than the sum of its proper divisors (63557804640512).

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

21725429983488 is an equidigital number, since it uses as much as digits as its factorization.

21725429983488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 403 counting only the distinct ones).

The product of its digits is 557383680, while the sum is 72.

The spelling of 21725429983488 in words is "twenty-one trillion, seven hundred twenty-five billion, four hundred twenty-nine million, nine hundred eighty-three thousand, four hundred eighty-eight".