20952455963040 has 1920 divisors, whose sum is σ = 91355807854080. Its totient is φ = 4416270336000.

The previous prime is 20952455962987. The next prime is 20952455963057. The reversal of 20952455963040 is 4036955425902.

20952455963040 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 2 + 4 + 5 + 596 + 3 + 0 + 40 = 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 319 ways as a sum of consecutive naturals, for example, 10619591494 + ... + 10619593466.

It is an arithmetic number, because the mean of its divisors is an integer number (47581149924).

Almost surely, 2^{20952455963040} is an apocalyptic number.

20952455963040 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 20952455963040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45677903927040).

20952455963040 is an abundant number, since it is smaller than the sum of its proper divisors (70403351891040).

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

20952455963040 is a wasteful number, since it uses less digits than its factorization.

20952455963040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2188 (or 2171 counting only the distinct ones).

The product of its (nonzero) digits is 11664000, while the sum is 54.

The spelling of 20952455963040 in words is "twenty trillion, nine hundred fifty-two billion, four hundred fifty-five million, nine hundred sixty-three thousand, forty".