21345459528960 has 1296 divisors, whose sum is σ = 87706476748800. Its totient is φ = 4778004381696.

The previous prime is 21345459528901. The next prime is 21345459528979. The reversal of 21345459528960 is 6982595454312.

21345459528960 is a `hidden beast` number, since 2 + 1 + 3 + 4 + 5 + 45 + 9 + 528 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5663425956 + ... + 5663429724.

Almost surely, 2^{21345459528960} is an apocalyptic number.

21345459528960 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 21345459528960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43853238374400).

21345459528960 is an abundant number, since it is smaller than the sum of its proper divisors (66361017219840).

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

21345459528960 is a wasteful number, since it uses less digits than its factorization.

21345459528960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4016 (or 3992 counting only the distinct ones).

The product of its (nonzero) digits is 93312000, while the sum is 63.

The spelling of 21345459528960 in words is "twenty-one trillion, three hundred forty-five billion, four hundred fifty-nine million, five hundred twenty-eight thousand, nine hundred sixty".