20952838710720 has 3360 divisors, whose sum is σ = 96150679732800. Its totient is φ = 4298097033216.

The previous prime is 20952838710701. The next prime is 20952838710757. The reversal of 20952838710720 is 2701783825902.

20952838710720 is a `hidden beast` number, since 2 + 0 + 9 + 528 + 3 + 8 + 7 + 107 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

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 479 ways as a sum of consecutive naturals, for example, 68250288807 + ... + 68250289113.

It is an arithmetic number, because the mean of its divisors is an integer number (28616273730).

Almost surely, 2^{20952838710720} is an apocalyptic number.

20952838710720 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 20952838710720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48075339866400).

20952838710720 is an abundant number, since it is smaller than the sum of its proper divisors (75197841022080).

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

20952838710720 is a wasteful number, since it uses less digits than its factorization.

20952838710720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 479 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 20952838710720 in words is "twenty trillion, nine hundred fifty-two billion, eight hundred thirty-eight million, seven hundred ten thousand, seven hundred twenty".