21525153416 has 64 divisors (see below), whose sum is σ = 44169216000. Its totient is φ = 9774805248.

The previous prime is 21525153367. The next prime is 21525153421. The reversal of 21525153416 is 61435152512.

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 15 ways as a sum of consecutive naturals, for example, 1675385 + ... + 1688183.

It is an arithmetic number, because the mean of its divisors is an integer number (690144000).

Almost surely, 2^21525153416 is an apocalyptic number.

21525153416 is a gapful number since it is divisible by the number (26) 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 21525153416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22084608000).

21525153416 is an abundant number, since it is smaller than the sum of its proper divisors (22644062584).

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

21525153416 is a wasteful number, since it uses less digits than its factorization.

21525153416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13078 (or 13074 counting only the distinct ones).

The product of its digits is 36000, while the sum is 35.

The spelling of 21525153416 in words is "twenty-one billion, five hundred twenty-five million, one hundred fifty-three thousand, four hundred sixteen".