21315798000 has 400 divisors, whose sum is σ = 87998099904. Its totient is φ = 4871923200.

The previous prime is 21315797989. The next prime is 21315798001. The reversal of 21315798000 is 89751312.

21315798000 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 579 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21315798001) 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 79 ways as a sum of consecutive naturals, for example, 1124602 + ... + 1143398.

Almost surely, 2^21315798000 is an apocalyptic number.

21315798000 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 21315798000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43999049952).

21315798000 is an abundant number, since it is smaller than the sum of its proper divisors (66682301904).

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

21315798000 is a wasteful number, since it uses less digits than its factorization.

21315798000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18839 (or 18814 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 21315798000 in words is "twenty-one billion, three hundred fifteen million, seven hundred ninety-eight thousand".