54200100400 has 90 divisors (see below), whose sum is σ = 138326359220. Its totient is φ = 20404700160.

The previous prime is 54200100389. The next prime is 54200100419. The reversal of 54200100400 is 400100245.

54200100400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 118830 + ... + 350029.

Almost surely, 2^54200100400 is an apocalyptic number.

54200100400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54200100400 is an abundant number, since it is smaller than the sum of its proper divisors (84126258820).

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

54200100400 is a wasteful number, since it uses less digits than its factorization.

54200100400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468911 (or 468883 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 54200100400 its reverse (400100245), we get a palindrome (54600200645).

The spelling of 54200100400 in words is "fifty-four billion, two hundred million, one hundred thousand, four hundred".