21014705669958 has 768 divisors, whose sum is σ = 64128627763200. Its totient is φ = 4796983296000.

The previous prime is 21014705669933. The next prime is 21014705669999. The reversal of 21014705669958 is 85996650741012.

21014705669958 is a `hidden beast` number, since 2 + 1 + 0 + 1 + 470 + 56 + 69 + 9 + 58 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 21014705669895 and 21014705669904.

It is a congruent number.

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, 13726129653 + ... + 13726131183.

It is an arithmetic number, because the mean of its divisors is an integer number (83500817400).

Almost surely, 2^{21014705669958} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21014705669958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32064313881600).

21014705669958 is an abundant number, since it is smaller than the sum of its proper divisors (43113922093242).

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

21014705669958 is a wasteful number, since it uses less digits than its factorization.

21014705669958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1946 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 21014705669958 in words is "twenty-one trillion, fourteen billion, seven hundred five million, six hundred sixty-nine thousand, nine hundred fifty-eight".