21452868000 has 576 divisors, whose sum is σ = 80460656640. Its totient is φ = 5405184000.

The previous prime is 21452867999. The next prime is 21452868007. The reversal of 21452868000 is 86825412.

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

It is not an unprimeable number, because it can be changed into a prime (21452868007) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 52451796 + ... + 52452204.

It is an arithmetic number, because the mean of its divisors is an integer number (139688640).

Almost surely, 2^21452868000 is an apocalyptic number.

21452868000 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 21452868000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40230328320).

21452868000 is an abundant number, since it is smaller than the sum of its proper divisors (59007788640).

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

21452868000 is a wasteful number, since it uses less digits than its factorization.

21452868000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 518 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 21452868000 in words is "twenty-one billion, four hundred fifty-two million, eight hundred sixty-eight thousand".