20493157885200 has 7200 divisors, whose sum is σ = 109747235727360. Its totient is φ = 3547348992000.

The previous prime is 20493157885177. The next prime is 20493157885229. The reversal of 20493157885200 is 258875139402.

20493157885200 is a `hidden beast` number, since 2 + 0 + 4 + 9 + 31 + 5 + 7 + 88 + 520 + 0 = 666.

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 1439 ways as a sum of consecutive naturals, for example, 188010622746 + ... + 188010622854.

Almost surely, 2^{20493157885200} is an apocalyptic number.

20493157885200 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 20493157885200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54873617863680).

20493157885200 is an abundant number, since it is smaller than the sum of its proper divisors (89254077842160).

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

20493157885200 is a wasteful number, since it uses less digits than its factorization.

20493157885200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 20493157885200 in words is "twenty trillion, four hundred ninety-three billion, one hundred fifty-seven million, eight hundred eighty-five thousand, two hundred".