21409152000 has 352 divisors, whose sum is σ = 71939112960. Its totient is φ = 5651251200.

The previous prime is 21409151989. The next prime is 21409152043. The reversal of 21409152000 is 25190412.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 48767781 + ... + 48768219.

It is an arithmetic number, because the mean of its divisors is an integer number (204372480).

Almost surely, 2^21409152000 is an apocalyptic number.

21409152000 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 21409152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35969556480).

21409152000 is an abundant number, since it is smaller than the sum of its proper divisors (50529960960).

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

21409152000 is a wasteful number, since it uses less digits than its factorization.

21409152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 24.

The spelling of 21409152000 in words is "twenty-one billion, four hundred nine million, one hundred fifty-two thousand".