10019961721656 has 48 divisors (see below), whose sum is σ = 27138212861760. Its totient is φ = 3339886744320.

The previous prime is 10019961721633. The next prime is 10019961721667. The reversal of 10019961721656 is 65612716991001.

10019961721656 is a `hidden beast` number, since 1 + 0 + 0 + 1 + 9 + 9 + 617 + 2 + 16 + 5 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 335296 + ... + 4489136.

It is an arithmetic number, because the mean of its divisors is an integer number (565379434620).

Almost surely, 2^{10019961721656} is an apocalyptic number.

It is an amenable number.

10019961721656 is an abundant number, since it is smaller than the sum of its proper divisors (17118251140104).

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

10019961721656 is a wasteful number, since it uses less digits than its factorization.

10019961721656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4187356 (or 4187349 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 10019961721656 in words is "ten trillion, nineteen billion, nine hundred sixty-one million, seven hundred twenty-one thousand, six hundred fifty-six".