21137830279992 has 192 divisors, whose sum is σ = 61837608811680. Its totient is φ = 6498969624576.

The previous prime is 21137830279981. The next prime is 21137830280003. The reversal of 21137830279992 is 29997203873112.

21137830279992 is a `hidden beast` number, since 21 + 137 + 8 + 302 + 7 + 99 + 92 = 666.

It is an interprime number because it is at equal distance from previous prime (21137830279981) and next prime (21137830280003).

It is a super-3 number, since 3×21137830279992³ (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13274863 + ... + 14781665.

Almost surely, 2^{21137830279992} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21137830279992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30918804405840).

21137830279992 is an abundant number, since it is smaller than the sum of its proper divisors (40699778531688).

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

21137830279992 is a wasteful number, since it uses less digits than its factorization.

21137830279992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1507062 (or 1507055 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 21137830279992 in words is "twenty-one trillion, one hundred thirty-seven billion, eight hundred thirty million, two hundred seventy-nine thousand, nine hundred ninety-two".