20154022400 has 120 divisors (see below), whose sum is σ = 50781392640. Its totient is φ = 7924674560.

The previous prime is 20154022391. The next prime is 20154022403. The reversal of 20154022400 is 422045102.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (20154022403) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 741857 + ... + 768543.

It is an arithmetic number, because the mean of its divisors is an integer number (423178272).

Almost surely, 2^20154022400 is an apocalyptic number.

20154022400 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 20154022400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25390696320).

20154022400 is an abundant number, since it is smaller than the sum of its proper divisors (30627370240).

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

20154022400 is an equidigital number, since it uses as much as digits as its factorization.

20154022400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26774 (or 26753 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 20154022400 its reverse (422045102), we get a palindrome (20576067502).

The spelling of 20154022400 in words is "twenty billion, one hundred fifty-four million, twenty-two thousand, four hundred".