21660540426144 has 144 divisors (see below), whose sum is σ = 65223965596608. Its totient is φ = 6795105110016.

The previous prime is 21660540426113. The next prime is 21660540426179. The reversal of 21660540426144 is 44162404506612.

21660540426144 is a `hidden beast` number, since 2 + 1 + 6 + 6 + 0 + 540 + 4 + 2 + 61 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a self number, because there is not a number n which added to its sum of digits gives 21660540426144.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 101764759 + ... + 101977385.

It is an arithmetic number, because the mean of its divisors is an integer number (452944205532).

Almost surely, 2^{21660540426144} is an apocalyptic number.

21660540426144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21660540426144 is an abundant number, since it is smaller than the sum of its proper divisors (43563425170464).

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

21660540426144 is a wasteful number, since it uses less digits than its factorization.

21660540426144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 233467 (or 233456 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 21660540426144 in words is "twenty-one trillion, six hundred sixty billion, five hundred forty million, four hundred twenty-six thousand, one hundred forty-four".