55406182400 has 360 divisors, whose sum is σ = 148831646040. Its totient is φ = 20384317440.

The previous prime is 55406182387. The next prime is 55406182427. The reversal of 55406182400 is 428160455.

It can be written as a sum of positive squares in 12 ways, for example, as 3436773376 + 51969409024 = 58624^2 + 227968^2 .

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 508313546 + ... + 508313654.

It is an arithmetic number, because the mean of its divisors is an integer number (413421239).

Almost surely, 2^55406182400 is an apocalyptic number.

55406182400 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 55406182400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74415823020).

55406182400 is an abundant number, since it is smaller than the sum of its proper divisors (93425463640).

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

55406182400 is a wasteful number, since it uses less digits than its factorization.

55406182400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 237 (or 206 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

The spelling of 55406182400 in words is "fifty-five billion, four hundred six million, one hundred eighty-two thousand, four hundred".