55196400 has 120 divisors (see below), whose sum is σ = 202102144. Its totient is φ = 12614400.

The previous prime is 55196381. The next prime is 55196413. The reversal of 55196400 is 469155.

55196400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5115 + ... + 11685.

Almost surely, 2^55196400 is an apocalyptic number.

55196400 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 55196400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101051072).

55196400 is an abundant number, since it is smaller than the sum of its proper divisors (146905744).

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

55196400 is a wasteful number, since it uses less digits than its factorization.

55196400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6599 (or 6588 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 30.

The square root of 55196400 is about 7429.4279725965. The cubic root of 55196400 is about 380.7473749159.

The spelling of 55196400 in words is "fifty-five million, one hundred ninety-six thousand, four hundred".