21795874018401 has 64 divisors (see below), whose sum is σ = 35487993036800. Its totient is φ = 11634918382080.

The previous prime is 21795874018351. The next prime is 21795874018417. The reversal of 21795874018401 is 10481047859712.

It is not a de Polignac number, because 21795874018401 - 2¹⁰ = 21795874017377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21795874018421) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 503476 + ... + 6621573.

It is an arithmetic number, because the mean of its divisors is an integer number (554499891200).

Almost surely, 2^{21795874018401} is an apocalyptic number.

21795874018401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21795874018401 is a deficient number, since it is larger than the sum of its proper divisors (13692119018399).

21795874018401 is a wasteful number, since it uses less digits than its factorization.

21795874018401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7125254.

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 21795874018401 in words is "twenty-one trillion, seven hundred ninety-five billion, eight hundred seventy-four million, eighteen thousand, four hundred one".