21395687224320 has 1760 divisors, whose sum is σ = 84352284720000. Its totient is φ = 5164940132352.

The previous prime is 21395687224309. The next prime is 21395687224333. The reversal of 21395687224320 is 2342278659312.

21395687224320 is a `hidden beast` number, since 2 + 1 + 3 + 9 + 568 + 72 + 2 + 4 + 3 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 24907668051 + ... + 24907668909.

It is an arithmetic number, because the mean of its divisors is an integer number (47927434500).

It is a 1-persistent number, because it is pandigital, but 2⋅21395687224320 = 42791374448640 is not.

Almost surely, 2^{21395687224320} is an apocalyptic number.

21395687224320 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 21395687224320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42176142360000).

21395687224320 is an abundant number, since it is smaller than the sum of its proper divisors (62956597495680).

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

21395687224320 is a wasteful number, since it uses less digits than its factorization.

21395687224320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1026 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 21395687224320 in words is "twenty-one trillion, three hundred ninety-five billion, six hundred eighty-seven million, two hundred twenty-four thousand, three hundred twenty".