21498190974720 has 360 divisors, whose sum is σ = 77898215693760. Its totient is φ = 5660281036800.

The previous prime is 21498190974691. The next prime is 21498190974731. The reversal of 21498190974720 is 2747909189412.

21498190974720 is a `hidden beast` number, since 2 + 1 + 498 + 1 + 9 + 0 + 9 + 74 + 72 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6878370 + ... + 9503070.

Almost surely, 2^{21498190974720} is an apocalyptic number.

21498190974720 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 21498190974720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38949107846880).

21498190974720 is an abundant number, since it is smaller than the sum of its proper divisors (56400024719040).

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

21498190974720 is an equidigital number, since it uses as much as digits as its factorization.

21498190974720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2624813 (or 2624790 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 21498190974720 in words is "twenty-one trillion, four hundred ninety-eight billion, one hundred ninety million, nine hundred seventy-four thousand, seven hundred twenty".