20874907901952 has 336 divisors, whose sum is σ = 66450562306128. Its totient is φ = 6273662976000.

The previous prime is 20874907901933. The next prime is 20874907901983. The reversal of 20874907901952 is 25910970947802.

20874907901952 is a `hidden beast` number, since 2 + 0 + 8 + 7 + 490 + 7 + 90 + 1 + 9 + 52 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 20874907901952.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40960702 + ... + 41467202.

It is an arithmetic number, because the mean of its divisors is an integer number (197769530673).

Almost surely, 2^{20874907901952} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20874907901952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33225281153064).

20874907901952 is an abundant number, since it is smaller than the sum of its proper divisors (45575654404176).

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

20874907901952 is a wasteful number, since it uses less digits than its factorization.

20874907901952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 506589 (or 506562 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 20874907901952 in words is "twenty trillion, eight hundred seventy-four billion, nine hundred seven million, nine hundred one thousand, nine hundred fifty-two".