21610961190 has 480 divisors, whose sum is σ = 75760945920. Its totient is φ = 4316053248.

The previous prime is 21610961159. The next prime is 21610961201. The reversal of 21610961190 is 9116901612.

21610961190 is a `hidden beast` number, since 21 + 6 + 10 + 9 + 611 + 9 + 0 = 666.

It is a super-2 number, since 2×21610961190² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 18205777 + ... + 18206963.

It is an arithmetic number, because the mean of its divisors is an integer number (157835304).

Almost surely, 2^21610961190 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21610961190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37880472960).

21610961190 is an abundant number, since it is smaller than the sum of its proper divisors (54149984730).

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

21610961190 is a wasteful number, since it uses less digits than its factorization.

21610961190 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1258 (or 1236 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The spelling of 21610961190 in words is "twenty-one billion, six hundred ten million, nine hundred sixty-one thousand, one hundred ninety".