21006433202560 has 512 divisors, whose sum is σ = 56809903288320. Its totient is φ = 7369629696000.

The previous prime is 21006433202551. The next prime is 21006433202591. The reversal of 21006433202560 is 6520233460012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27971282185 + ... + 27971282935.

It is an arithmetic number, because the mean of its divisors is an integer number (110956842360).

Almost surely, 2^{21006433202560} is an apocalyptic number.

21006433202560 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 21006433202560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28404951644160).

21006433202560 is an abundant number, since it is smaller than the sum of its proper divisors (35803470085760).

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

21006433202560 is a wasteful number, since it uses less digits than its factorization.

21006433202560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1586 (or 1574 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 34.

Adding to 21006433202560 its reverse (6520233460012), we get a palindrome (27526666662572).

The spelling of 21006433202560 in words is "twenty-one trillion, six billion, four hundred thirty-three million, two hundred two thousand, five hundred sixty".