21315294000 has 1440 divisors, whose sum is σ = 102344074560. Its totient is φ = 4088448000.

The previous prime is 21315293969. The next prime is 21315294019. The reversal of 21315294000 is 49251312.

21315294000 is a `hidden beast` number, since 2 + 131 + 529 + 4 + 0 + 0 + 0 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1639637994 + ... + 1639638006.

It is an arithmetic number, because the mean of its divisors is an integer number (71072274).

Almost surely, 2^21315294000 is an apocalyptic number.

21315294000 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 21315294000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51172037280).

21315294000 is an abundant number, since it is smaller than the sum of its proper divisors (81028780560).

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

21315294000 is a wasteful number, since it uses less digits than its factorization.

21315294000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 21315294000 in words is "twenty-one billion, three hundred fifteen million, two hundred ninety-four thousand".