21523153680 has 640 divisors, whose sum is σ = 89411420160. Its totient is φ = 4654817280.

The previous prime is 21523153679. The next prime is 21523153699. The reversal of 21523153680 is 8635132512.

21523153680 is a `hidden beast` number, since 2 + 1 + 523 + 1 + 53 + 6 + 80 = 666.

It is a super-2 number, since 2×21523153680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 22029352 + ... + 22030328.

It is an arithmetic number, because the mean of its divisors is an integer number (139705344).

Almost surely, 2^21523153680 is an apocalyptic number.

21523153680 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 21523153680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44705710080).

21523153680 is an abundant number, since it is smaller than the sum of its proper divisors (67888266480).

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

21523153680 is a wasteful number, since it uses less digits than its factorization.

21523153680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1084 (or 1072 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 21523153680 in words is "twenty-one billion, five hundred twenty-three million, one hundred fifty-three thousand, six hundred eighty".