21383387700480 has 1152 divisors, whose sum is σ = 86128070515200. Its totient is φ = 4980270956544.

The previous prime is 21383387700383. The next prime is 21383387700481. The reversal of 21383387700480 is 8400778338312.

It is a happy number.

21383387700480 is a `hidden beast` number, since 2 + 1 + 3 + 83 + 3 + 87 + 7 + 0 + 0 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21383387700481) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13256904154 + ... + 13256905766.

It is an arithmetic number, because the mean of its divisors is an integer number (74763950100).

Almost surely, 2^{21383387700480} is an apocalyptic number.

21383387700480 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 21383387700480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43064035257600).

21383387700480 is an abundant number, since it is smaller than the sum of its proper divisors (64744682814720).

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

21383387700480 is a wasteful number, since it uses less digits than its factorization.

21383387700480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3228 (or 3208 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 21383387700480 in words is "twenty-one trillion, three hundred eighty-three billion, three hundred eighty-seven million, seven hundred thousand, four hundred eighty".