55884960000 has 405 divisors, whose sum is σ = 202375454281. Its totient is φ = 14827008000.

The previous prime is 55884959969. The next prime is 55884960029. The reversal of 55884960000 is 6948855.

The square root of 55884960000 is 236400.

It is a perfect power (a square), and thus also a powerful number.

55884960000 is a `hidden beast` number, since 5 + 588 + 4 + 9 + 60 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 9560146176 + 46324813824 = 97776^2 + 215232^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 283679902 + ... + 283680098.

Almost surely, 2^55884960000 is an apocalyptic number.

55884960000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

55884960000 is the 236400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55884960000

55884960000 is an abundant number, since it is smaller than the sum of its proper divisors (146490494281).

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

55884960000 is an frugal number, since it uses more digits than its factorization.

55884960000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 207 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 55884960000 in words is "fifty-five billion, eight hundred eighty-four million, nine hundred sixty thousand".