21023553058560 has 2160 divisors, whose sum is σ = 86979056671584. Its totient is φ = 4829554409472.

The previous prime is 21023553058559. The next prime is 21023553058561. The reversal of 21023553058560 is 6585035532012.

21023553058560 is a `hidden beast` number, since 2 + 1 + 0 + 2 + 3 + 5 + 5 + 3 + 0 + 585 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (21023553058559) and next prime (21023553058561).

It is a tau number, because it is divible by the number of its divisors (2160).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21023553058561) 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 239 ways as a sum of consecutive naturals, for example, 48553240104 + ... + 48553240536.

Almost surely, 2^{21023553058560} is an apocalyptic number.

21023553058560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21023553058560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43489528335792).

21023553058560 is an abundant number, since it is smaller than the sum of its proper divisors (65955503613024).

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

21023553058560 is a wasteful number, since it uses less digits than its factorization.

21023553058560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 672 (or 636 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 21023553058560 in words is "twenty-one trillion, twenty-three billion, five hundred fifty-three million, fifty-eight thousand, five hundred sixty".