20900757969000 has 3840 divisors, whose sum is σ = 96307103692800. Its totient is φ = 4185603072000.

The previous prime is 20900757968947. The next prime is 20900757969011. The reversal of 20900757969000 is 96975700902.

20900757969000 is a `hidden beast` number, since 2 + 0 + 9 + 0 + 0 + 7 + 579 + 69 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×20900757969000² (a number of 27 digits) contains 22 as substring.

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 959 ways as a sum of consecutive naturals, for example, 116764010911 + ... + 116764011089.

It is an arithmetic number, because the mean of its divisors is an integer number (25079974920).

Almost surely, 2^{20900757969000} is an apocalyptic number.

20900757969000 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 20900757969000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48153551846400).

20900757969000 is an abundant number, since it is smaller than the sum of its proper divisors (75406345723800).

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

20900757969000 is a wasteful number, since it uses less digits than its factorization.

20900757969000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 313 counting only the distinct ones).

The product of its (nonzero) digits is 2143260, while the sum is 54.

The spelling of 20900757969000 in words is "twenty trillion, nine hundred billion, seven hundred fifty-seven million, nine hundred sixty-nine thousand".