21524481000 has 768 divisors, whose sum is σ = 85715884800. Its totient is φ = 4954752000.

The previous prime is 21524480983. The next prime is 21524481019. The reversal of 21524481000 is 18442512.

21524481000 is a `hidden beast` number, since 215 + 2 + 448 + 1 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×21524481000² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 157112932 + ... + 157113068.

It is an arithmetic number, because the mean of its divisors is an integer number (111609225).

Almost surely, 2^21524481000 is an apocalyptic number.

21524481000 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 21524481000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42857942400).

21524481000 is an abundant number, since it is smaller than the sum of its proper divisors (64191403800).

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

21524481000 is a wasteful number, since it uses less digits than its factorization.

21524481000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 21524481000 in words is "twenty-one billion, five hundred twenty-four million, four hundred eighty-one thousand".