21699325440 has 1280 divisors, whose sum is σ = 92394086400. Its totient is φ = 4777574400.

The previous prime is 21699325433. The next prime is 21699325441. The reversal of 21699325440 is 4452399612.

21699325440 is a `hidden beast` number, since 2 + 16 + 9 + 93 + 2 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1280).

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 (21699325441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 529251820 + ... + 529251860.

It is an arithmetic number, because the mean of its divisors is an integer number (72182880).

Almost surely, 2^21699325440 is an apocalyptic number.

21699325440 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 21699325440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46197043200).

21699325440 is an abundant number, since it is smaller than the sum of its proper divisors (70694760960).

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

21699325440 is a wasteful number, since it uses less digits than its factorization.

21699325440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 21699325440 in words is "twenty-one billion, six hundred ninety-nine million, three hundred twenty-five thousand, four hundred forty".