20256801600 has 336 divisors, whose sum is σ = 78576220800. Its totient is φ = 4470251520.

The previous prime is 20256801599. The next prime is 20256801601. The reversal of 20256801600 is 610865202.

It is an interprime number because it is at equal distance from previous prime (20256801599) and next prime (20256801601).

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×20256801600² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20256801601) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 964006 + ... + 984794.

It is an arithmetic number, because the mean of its divisors is an integer number (233857800).

Almost surely, 2^20256801600 is an apocalyptic number.

20256801600 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 20256801600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39288110400).

20256801600 is an abundant number, since it is smaller than the sum of its proper divisors (58319419200).

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

20256801600 is a wasteful number, since it uses less digits than its factorization.

20256801600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20850 (or 20835 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 20256801600 in words is "twenty billion, two hundred fifty-six million, eight hundred one thousand, six hundred".