20991292705152 has 2560 divisors, whose sum is σ = 85307904000000. Its totient is φ = 4961690173440.

The previous prime is 20991292705133. The next prime is 20991292705177. The reversal of 20991292705152 is 25150729219902.

20991292705152 is a `hidden beast` number, since 2 + 0 + 99 + 12 + 9 + 27 + 0 + 515 + 2 = 666.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 42066718599 + ... + 42066719097.

It is an arithmetic number, because the mean of its divisors is an integer number (33323400000).

Almost surely, 2^{20991292705152} is an apocalyptic number.

20991292705152 is a gapful number since it is divisible by the number (22) 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 20991292705152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42653952000000).

20991292705152 is an abundant number, since it is smaller than the sum of its proper divisors (64316611294848).

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

20991292705152 is a wasteful number, since it uses less digits than its factorization.

20991292705152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 674 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 2041200, while the sum is 54.

The spelling of 20991292705152 in words is "twenty trillion, nine hundred ninety-one billion, two hundred ninety-two million, seven hundred five thousand, one hundred fifty-two".