21514982400 has 528 divisors, whose sum is σ = 83702321280. Its totient is φ = 5396889600.

The previous prime is 21514982399. The next prime is 21514982431. The reversal of 21514982400 is 428941512.

21514982400 is a `hidden beast` number, since 21 + 514 + 9 + 82 + 40 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11749485 + ... + 11751315.

Almost surely, 2^21514982400 is an apocalyptic number.

21514982400 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 21514982400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41851160640).

21514982400 is an abundant number, since it is smaller than the sum of its proper divisors (62187338880).

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

21514982400 is a wasteful number, since it uses less digits than its factorization.

21514982400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1887 (or 1858 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 21514982400 in words is "twenty-one billion, five hundred fourteen million, nine hundred eighty-two thousand, four hundred".