21653051452560 has 480 divisors, whose sum is σ = 84065993182080. Its totient is φ = 4944599654400.

The previous prime is 21653051452523. The next prime is 21653051452573. The reversal of 21653051452560 is 6525415035612.

21653051452560 is a `hidden beast` number, since 2 + 1 + 6 + 5 + 30 + 5 + 1 + 4 + 52 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 8267187 + ... + 10566573.

It is an arithmetic number, because the mean of its divisors is an integer number (175137485796).

Almost surely, 2^{21653051452560} is an apocalyptic number.

21653051452560 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 21653051452560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42032996591040).

21653051452560 is an abundant number, since it is smaller than the sum of its proper divisors (62412941729520).

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

21653051452560 is a wasteful number, since it uses less digits than its factorization.

21653051452560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2299487 (or 2299478 counting only the distinct ones).

The product of its (nonzero) digits is 1080000, while the sum is 45.

The spelling of 21653051452560 in words is "twenty-one trillion, six hundred fifty-three billion, fifty-one million, four hundred fifty-two thousand, five hundred sixty".