21134953340928 has 1120 divisors, whose sum is σ = 77050659248640. Its totient is φ = 5638493306880.

The previous prime is 21134953340771. The next prime is 21134953340953. The reversal of 21134953340928 is 82904335943112.

It is a happy number.

21134953340928 is a `hidden beast` number, since 2 + 1 + 1 + 3 + 49 + 533 + 40 + 9 + 28 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6265919850 + ... + 6265923222.

It is an arithmetic number, because the mean of its divisors is an integer number (68795231472).

Almost surely, 2^{21134953340928} is an apocalyptic number.

21134953340928 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 21134953340928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38525329624320).

21134953340928 is an abundant number, since it is smaller than the sum of its proper divisors (55915705907712).

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

21134953340928 is an equidigital number, since it uses as much as digits as its factorization.

21134953340928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3508 (or 3475 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 21134953340928 in words is "twenty-one trillion, one hundred thirty-four billion, nine hundred fifty-three million, three hundred forty thousand, nine hundred twenty-eight".