55442576400 has 240 divisors, whose sum is σ = 187167127680. Its totient is φ = 14001152000.

The previous prime is 55442576393. The next prime is 55442576429. The reversal of 55442576400 is 467524455.

It is a tau number, because it is divible by the number of its divisors (240).

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 47 ways as a sum of consecutive naturals, for example, 2777656 + ... + 2797544.

It is an arithmetic number, because the mean of its divisors is an integer number (779863032).

Almost surely, 2^55442576400 is an apocalyptic number.

55442576400 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 55442576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93583563840).

55442576400 is an abundant number, since it is smaller than the sum of its proper divisors (131724551280).

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

55442576400 is a wasteful number, since it uses less digits than its factorization.

55442576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20034 (or 20023 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 42.

The spelling of 55442576400 in words is "fifty-five billion, four hundred forty-two million, five hundred seventy-six thousand, four hundred".