20952328564620 has 576 divisors, whose sum is σ = 71406945792000. Its totient is φ = 5140669121280.

The previous prime is 20952328564603. The next prime is 20952328564663. The reversal of 20952328564620 is 2646582325902.

20952328564620 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 2 + 3 + 2 + 8 + 5 + 6 + 4 + 620 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 439237531 + ... + 439285229.

It is an arithmetic number, because the mean of its divisors is an integer number (123970392000).

Almost surely, 2^{20952328564620} is an apocalyptic number.

20952328564620 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 20952328564620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35703472896000).

20952328564620 is an abundant number, since it is smaller than the sum of its proper divisors (50454617227380).

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

20952328564620 is a wasteful number, since it uses less digits than its factorization.

20952328564620 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 47880 (or 47866 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 54.

The spelling of 20952328564620 in words is "twenty trillion, nine hundred fifty-two billion, three hundred twenty-eight million, five hundred sixty-four thousand, six hundred twenty".