20257091920800 has 1296 divisors, whose sum is σ = 88375266120960. Its totient is φ = 4338339102720.

The previous prime is 20257091920789. The next prime is 20257091920801. The reversal of 20257091920800 is 802919075202.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (20257091920801) by changing a digit.

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 215 ways as a sum of consecutive naturals, for example, 1361447761 + ... + 1361462639.

It is an arithmetic number, because the mean of its divisors is an integer number (68190791760).

Almost surely, 2^{20257091920800} is an apocalyptic number.

20257091920800 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 20257091920800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44187633060480).

20257091920800 is an abundant number, since it is smaller than the sum of its proper divisors (68118174200160).

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

20257091920800 is a wasteful number, since it uses less digits than its factorization.

20257091920800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15163 (or 15140 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 20257091920800 in words is "twenty trillion, two hundred fifty-seven billion, ninety-one million, nine hundred twenty thousand, eight hundred".