21219868111757 has 64 divisors (see below), whose sum is σ = 25072327526400. Its totient is φ = 17950576896000.

The previous prime is 21219868111727. The next prime is 21219868111759. The reversal of 21219868111757 is 75711186891212.

It is not a de Polignac number, because 21219868111757 - 2³⁴ = 21202688242573 is a prime.

It is a hoax number, since the sum of its digits (59) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 21219868111696 and 21219868111705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21219868111759) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9025889132 + ... + 9025891482.

It is an arithmetic number, because the mean of its divisors is an integer number (391755117600).

Almost surely, 2^{21219868111757} is an apocalyptic number.

It is an amenable number.

21219868111757 is a deficient number, since it is larger than the sum of its proper divisors (3852459414643).

21219868111757 is a wasteful number, since it uses less digits than its factorization.

21219868111757 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3547 (or 3533 counting only the distinct ones).

The product of its digits is 3386880, while the sum is 59.

The spelling of 21219868111757 in words is "twenty-one trillion, two hundred nineteen billion, eight hundred sixty-eight million, one hundred eleven thousand, seven hundred fifty-seven".