54164200400 has 30 divisors (see below), whose sum is σ = 130129492422. Its totient is φ = 21665680000.

The previous prime is 54164200397. The next prime is 54164200403. The reversal of 54164200400 is 400246145.

It is an interprime number because it is at equal distance from previous prime (54164200397) and next prime (54164200403).

It can be written as a sum of positive squares in 3 ways, for example, as 3639950224 + 50524250176 = 60332^2 + 224776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 54164200400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (54164200403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 67704851 + ... + 67705650.

Almost surely, 2^54164200400 is an apocalyptic number.

54164200400 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

54164200400 is an abundant number, since it is smaller than the sum of its proper divisors (75965292022).

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

54164200400 is a wasteful number, since it uses less digits than its factorization.

54164200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135410519 (or 135410508 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

Adding to 54164200400 its reverse (400246145), we get a palindrome (54564446545).

The spelling of 54164200400 in words is "fifty-four billion, one hundred sixty-four million, two hundred thousand, four hundred".