21071791082790 has 384 divisors, whose sum is σ = 65641181760000. Its totient is φ = 4796131979520.

The previous prime is 21071791082767. The next prime is 21071791082813. The reversal of 21071791082790 is 9728019717012.

21071791082790 is a `hidden beast` number, since 210 + 71 + 7 + 91 + 0 + 8 + 279 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (21071791082767) and next prime (21071791082813).

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 191 ways as a sum of consecutive naturals, for example, 6088351660 + ... + 6088355120.

It is an arithmetic number, because the mean of its divisors is an integer number (170940577500).

Almost surely, 2^{21071791082790} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21071791082790, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32820590880000).

21071791082790 is an abundant number, since it is smaller than the sum of its proper divisors (44569390677210).

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

21071791082790 is a wasteful number, since it uses less digits than its factorization.

21071791082790 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5297 (or 5284 counting only the distinct ones).

The product of its (nonzero) digits is 889056, while the sum is 54.

The spelling of 21071791082790 in words is "twenty-one trillion, seventy-one billion, seven hundred ninety-one million, eighty-two thousand, seven hundred ninety".