21499593121440 has 2304 divisors, whose sum is σ = 95190489999360. Its totient is φ = 4501182873600.

The previous prime is 21499593121403. The next prime is 21499593121519. The reversal of 21499593121440 is 4412139599412.

21499593121440 is a `hidden beast` number, since 2 + 1 + 4 + 9 + 9 + 593 + 1 + 2 + 1 + 4 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 53614945240 + ... + 53614945640.

It is an arithmetic number, because the mean of its divisors is an integer number (41315316840).

Almost surely, 2^{21499593121440} is an apocalyptic number.

21499593121440 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 21499593121440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47595244999680).

21499593121440 is an abundant number, since it is smaller than the sum of its proper divisors (73690896877920).

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

21499593121440 is a wasteful number, since it uses less digits than its factorization.

21499593121440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 820 (or 799 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 21499593121440 in words is "twenty-one trillion, four hundred ninety-nine billion, five hundred ninety-three million, one hundred twenty-one thousand, four hundred forty".