21498883245504 has 1008 divisors, whose sum is σ = 80319737272320. Its totient is φ = 5447821639680.

The previous prime is 21498883245493. The next prime is 21498883245509. The reversal of 21498883245504 is 40554238889412.

21498883245504 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 8 + 8 + 83 + 2 + 45 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21498883245509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1741217059 + ... + 1741229405.

It is an arithmetic number, because the mean of its divisors is an integer number (79682279040).

Almost surely, 2^{21498883245504} is an apocalyptic number.

21498883245504 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 21498883245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40159868636160).

21498883245504 is an abundant number, since it is smaller than the sum of its proper divisors (58820854026816).

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

21498883245504 is a wasteful number, since it uses less digits than its factorization.

21498883245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12606 (or 12586 counting only the distinct ones).

The product of its (nonzero) digits is 88473600, while the sum is 63.

The spelling of 21498883245504 in words is "twenty-one trillion, four hundred ninety-eight billion, eight hundred eighty-three million, two hundred forty-five thousand, five hundred four".