21514480000 has 320 divisors, whose sum is σ = 58484653920. Its totient is φ = 7833600000.

The previous prime is 21514479989. The next prime is 21514480037. The reversal of 21514480000 is 8441512.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 142479925 + ... + 142480075.

Almost surely, 2^21514480000 is an apocalyptic number.

21514480000 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 21514480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29242326960).

21514480000 is an abundant number, since it is smaller than the sum of its proper divisors (36970173920).

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

21514480000 is a wasteful number, since it uses less digits than its factorization.

21514480000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 335 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

The spelling of 21514480000 in words is "twenty-one billion, five hundred fourteen million, four hundred eighty thousand".