21417967356801 has 32 divisors (see below), whose sum is σ = 30301758384768. Its totient is φ = 13410017571840.

The previous prime is 21417967356763. The next prime is 21417967356823. The reversal of 21417967356801 is 10865376971412.

It is a de Polignac number, because none of the positive numbers 2^k-21417967356801 is a prime.

It is not an unprimeable number, because it can be changed into a prime (21417967356871) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84042711 + ... + 84297171.

It is an arithmetic number, because the mean of its divisors is an integer number (946929949524).

It is a 2-persistent number, because it is pandigital, and so is 2⋅21417967356801 = 42835934713602, but 3⋅21417967356801 = 64253902070403 is not.

Almost surely, 2^{21417967356801} is an apocalyptic number.

It is an amenable number.

21417967356801 is a deficient number, since it is larger than the sum of its proper divisors (8883791027967).

21417967356801 is a wasteful number, since it uses less digits than its factorization.

21417967356801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258001.

The product of its (nonzero) digits is 15240960, while the sum is 60.

The spelling of 21417967356801 in words is "twenty-one trillion, four hundred seventeen billion, nine hundred sixty-seven million, three hundred fifty-six thousand, eight hundred one".