55119573600 has 576 divisors, whose sum is σ = 230439250944. Its totient is φ = 11122974720.

The previous prime is 55119573583. The next prime is 55119573617. The reversal of 55119573600 is 637591155.

It is an interprime number because it is at equal distance from previous prime (55119573583) and next prime (55119573617).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5017714 + ... + 5028686.

It is an arithmetic number, because the mean of its divisors is an integer number (400068144).

Almost surely, 2^55119573600 is an apocalyptic number.

55119573600 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 55119573600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115219625472).

55119573600 is an abundant number, since it is smaller than the sum of its proper divisors (175319677344).

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

55119573600 is a wasteful number, since it uses less digits than its factorization.

55119573600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11039 (or 11026 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 42.

The spelling of 55119573600 in words is "fifty-five billion, one hundred nineteen million, five hundred seventy-three thousand, six hundred".