55130400 has 432 divisors, whose sum is σ = 227485440. Its totient is φ = 12441600.

The previous prime is 55130399. The next prime is 55130401. The reversal of 55130400 is 403155.

It is an interprime number because it is at equal distance from previous prime (55130399) and next prime (55130401).

It is a super-2 number, since 2×55130400² = 6078722008320000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (55130401) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1778385 + ... + 1778415.

Almost surely, 2^55130400 is an apocalyptic number.

55130400 is a gapful number since it is divisible by the number (50) 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 55130400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742720).

55130400 is an abundant number, since it is smaller than the sum of its proper divisors (172355040).

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

55130400 is a wasteful number, since it uses less digits than its factorization.

55130400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 89 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 55130400 is about 7424.9848484694. The cubic root of 55130400 is about 380.5955573495.

Adding to 55130400 its reverse (403155), we get a palindrome (55533555).

The spelling of 55130400 in words is "fifty-five million, one hundred thirty thousand, four hundred".