20657100800 has 144 divisors (see below), whose sum is σ = 58534847280. Its totient is φ = 7082311680.

The previous prime is 20657100781. The next prime is 20657100803. The reversal of 20657100800 is 800175602.

It is a super-2 number, since 2×20657100800² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20657100803) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 329582 + ... + 387218.

It is an arithmetic number, because the mean of its divisors is an integer number (406491995).

Almost surely, 2^20657100800 is an apocalyptic number.

20657100800 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 20657100800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29267423640).

20657100800 is an abundant number, since it is smaller than the sum of its proper divisors (37877746480).

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

20657100800 is an equidigital number, since it uses as much as digits as its factorization.

20657100800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57676 (or 57651 counting only the distinct ones).

The product of its (nonzero) digits is 3360, while the sum is 29.

The spelling of 20657100800 in words is "twenty billion, six hundred fifty-seven million, one hundred thousand, eight hundred".