21625214520 has 256 divisors, whose sum is σ = 80315504640. Its totient is φ = 4535912448.

The previous prime is 21625214461. The next prime is 21625214521. The reversal of 21625214520 is 2541252612.

It is a super-3 number, since 3×21625214520³ (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21625214521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1883437 + ... + 1894883.

It is an arithmetic number, because the mean of its divisors is an integer number (313732440).

Almost surely, 2^21625214520 is an apocalyptic number.

21625214520 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 21625214520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40157752320).

21625214520 is an abundant number, since it is smaller than the sum of its proper divisors (58690290120).

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

21625214520 is a wasteful number, since it uses less digits than its factorization.

21625214520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11654 (or 11650 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 21625214520 in words is "twenty-one billion, six hundred twenty-five million, two hundred fourteen thousand, five hundred twenty".