20226800400 has 120 divisors (see below), whose sum is σ = 65191318560. Its totient is φ = 5360670720.

The previous prime is 20226800389. The next prime is 20226800441. The reversal of 20226800400 is 400862202.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (24).

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 23 ways as a sum of consecutive naturals, for example, 143896 + ... + 247304.

It is an arithmetic number, because the mean of its divisors is an integer number (543260988).

Almost surely, 2^20226800400 is an apocalyptic number.

20226800400 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 20226800400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32595659280).

20226800400 is an abundant number, since it is smaller than the sum of its proper divisors (44964518160).

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

20226800400 is a wasteful number, since it uses less digits than its factorization.

20226800400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103593 (or 103582 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

The spelling of 20226800400 in words is "twenty billion, two hundred twenty-six million, eight hundred thousand, four hundred".