21156853793130 has 192 divisors, whose sum is σ = 60278944227840. Its totient is φ = 5105831500800.

The previous prime is 21156853793123. The next prime is 21156853793161. The reversal of 21156853793130 is 3139735865112.

21156853793130 is a `hidden beast` number, since 2 + 1 + 1 + 5 + 6 + 8 + 537 + 93 + 13 + 0 = 666.

It is a super-2 number, since 2×21156853793130² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1789762620 + ... + 1789774440.

It is an arithmetic number, because the mean of its divisors is an integer number (313952834520).

Almost surely, 2^{21156853793130} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21156853793130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30139472113920).

21156853793130 is an abundant number, since it is smaller than the sum of its proper divisors (39122090434710).

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

21156853793130 is a wasteful number, since it uses less digits than its factorization.

21156853793130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19837 (or 19834 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 21156853793130 in words is "twenty-one trillion, one hundred fifty-six billion, eight hundred fifty-three million, seven hundred ninety-three thousand, one hundred thirty".