20318222400 has 840 divisors, whose sum is σ = 81515553504. Its totient is φ = 4425523200.

The previous prime is 20318222377. The next prime is 20318222429. The reversal of 20318222400 is 422281302.

It is a tau number, because it is divible by the number of its divisors (840).

It is a super-2 number, since 2×20318222400² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 472516779 + ... + 472516821.

Almost surely, 2^20318222400 is an apocalyptic number.

20318222400 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 20318222400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40757776752).

20318222400 is an abundant number, since it is smaller than the sum of its proper divisors (61197331104).

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

20318222400 is an equidigital number, since it uses as much as digits as its factorization.

20318222400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137 (or 101 counting only the distinct ones).

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

The spelling of 20318222400 in words is "twenty billion, three hundred eighteen million, two hundred twenty-two thousand, four hundred".