21353483403792 has 640 divisors, whose sum is σ = 68116640256000. Its totient is φ = 6374334320640.

The previous prime is 21353483403757. The next prime is 21353483403793. The reversal of 21353483403792 is 29730438435312.

21353483403792 is a `hidden beast` number, since 2 + 1 + 3 + 5 + 3 + 483 + 40 + 37 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21353483403793) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 10524140634 + ... + 10524142662.

It is an arithmetic number, because the mean of its divisors is an integer number (106432250400).

Almost surely, 2^{21353483403792} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21353483403792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34058320128000).

21353483403792 is an abundant number, since it is smaller than the sum of its proper divisors (46763156852208).

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

21353483403792 is a wasteful number, since it uses less digits than its factorization.

21353483403792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2716 (or 2704 counting only the distinct ones).

The product of its (nonzero) digits is 13063680, while the sum is 54.

The spelling of 21353483403792 in words is "twenty-one trillion, three hundred fifty-three billion, four hundred eighty-three million, four hundred three thousand, seven hundred ninety-two".