21952625760 has 144 divisors (see below), whose sum is σ = 80675968464. Its totient is φ = 5403718656.

The previous prime is 21952625749. The next prime is 21952625797. The reversal of 21952625760 is 6752625912.

21952625760 is a `hidden beast` number, since 2 + 19 + 5 + 2 + 62 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 567622 + ... + 605061.

It is an arithmetic number, because the mean of its divisors is an integer number (560249781).

Almost surely, 2^21952625760 is an apocalyptic number.

21952625760 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21952625760 is an abundant number, since it is smaller than the sum of its proper divisors (58723342704).

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

21952625760 is a wasteful number, since it uses less digits than its factorization.

21952625760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172717 (or 1172706 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

It can be divided in two parts, 2195262 and 5760, that added together give a palindrome (2201022).

The spelling of 21952625760 in words is "twenty-one billion, nine hundred fifty-two million, six hundred twenty-five thousand, seven hundred sixty".