21407823360 has 720 divisors, whose sum is σ = 93221095968. Its totient is φ = 4444323840.

The previous prime is 21407823337. The next prime is 21407823361. The reversal of 21407823360 is 6332870412.

It is a happy number.

21407823360 is a `hidden beast` number, since 214 + 0 + 7 + 82 + 3 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (21407823361) by changing a digit.

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 71 ways as a sum of consecutive naturals, for example, 19514332 + ... + 19515428.

Almost surely, 2^21407823360 is an apocalyptic number.

21407823360 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 21407823360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46610547984).

21407823360 is an abundant number, since it is smaller than the sum of its proper divisors (71813272608).

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

21407823360 is a wasteful number, since it uses less digits than its factorization.

21407823360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1155 (or 1125 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 21407823360 in words is "twenty-one billion, four hundred seven million, eight hundred twenty-three thousand, three hundred sixty".