21488999616504 has 768 divisors, whose sum is σ = 74493619200000. Its totient is φ = 5457226908672.

The previous prime is 21488999616449. The next prime is 21488999616551. The reversal of 21488999616504 is 40561699988412.

21488999616504 is a `hidden beast` number, since 2 + 1 + 488 + 9 + 9 + 96 + 1 + 6 + 50 + 4 = 666.

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 191 ways as a sum of consecutive naturals, for example, 2376308607 + ... + 2376317649.

It is an arithmetic number, because the mean of its divisors is an integer number (96996900000).

Almost surely, 2^{21488999616504} is an apocalyptic number.

21488999616504 is a gapful number since it is divisible by the number (24) 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 21488999616504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37246809600000).

21488999616504 is an abundant number, since it is smaller than the sum of its proper divisors (53004619583496).

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

21488999616504 is a wasteful number, since it uses less digits than its factorization.

21488999616504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9352 (or 9345 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 21488999616504 in words is "twenty-one trillion, four hundred eighty-eight billion, nine hundred ninety-nine million, six hundred sixteen thousand, five hundred four".