20899757057760 has 1152 divisors, whose sum is σ = 86340473856000. Its totient is φ = 4598488903680.

The previous prime is 20899757057747. The next prime is 20899757057869. The reversal of 20899757057760 is 6775075799802.

It is a Harshad number since it is a multiple of its sum of digits (72).

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 191 ways as a sum of consecutive naturals, for example, 1416061261 + ... + 1416076019.

It is an arithmetic number, because the mean of its divisors is an integer number (74948328000).

Almost surely, 2^{20899757057760} is an apocalyptic number.

20899757057760 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 20899757057760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43170236928000).

20899757057760 is an abundant number, since it is smaller than the sum of its proper divisors (65440716798240).

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

20899757057760 is a wasteful number, since it uses less digits than its factorization.

20899757057760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14909 (or 14884 counting only the distinct ones).

The product of its (nonzero) digits is 466754400, while the sum is 72.

The spelling of 20899757057760 in words is "twenty trillion, eight hundred ninety-nine billion, seven hundred fifty-seven million, fifty-seven thousand, seven hundred sixty".