20952958094640 has 2880 divisors, whose sum is σ = 88911133608960. Its totient is φ = 4377784320000.

The previous prime is 20952958094599. The next prime is 20952958094647. The reversal of 20952958094640 is 4649085925902.

20952958094640 is a `hidden beast` number, since 2 + 0 + 9 + 5 + 2 + 9 + 580 + 9 + 4 + 6 + 40 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (20952958094647) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 207455030590 + ... + 207455030690.

It is an arithmetic number, because the mean of its divisors is an integer number (30871921392).

Almost surely, 2^{20952958094640} is an apocalyptic number.

20952958094640 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 20952958094640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44455566804480).

20952958094640 is an abundant number, since it is smaller than the sum of its proper divisors (67958175514320).

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

20952958094640 is a wasteful number, since it uses less digits than its factorization.

20952958094640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 20952958094640 in words is "twenty trillion, nine hundred fifty-two billion, nine hundred fifty-eight million, ninety-four thousand, six hundred forty".