21365507144064 has 32 divisors (see below), whose sum is σ = 56752128352440. Its totient is φ = 7121835714560.

The previous prime is 21365507144041. The next prime is 21365507144119. The reversal of 21365507144064 is 46044170556312.

It is a tau number, because it is divible by the number of its divisors (32).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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 3 ways as a sum of consecutive naturals, for example, 27819670377 + ... + 27819671144.

Almost surely, 2^{21365507144064} is an apocalyptic number.

21365507144064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

21365507144064 is an abundant number, since it is smaller than the sum of its proper divisors (35386621208376).

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

21365507144064 is an equidigital number, since it uses as much as digits as its factorization.

21365507144064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55639341538 (or 55639341526 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 48.

The spelling of 21365507144064 in words is "twenty-one trillion, three hundred sixty-five billion, five hundred seven million, one hundred forty-four thousand, sixty-four".