55585333440 has 1008 divisors, whose sum is σ = 245687027040. Its totient is φ = 11426365440.

The previous prime is 55585333429. The next prime is 55585333469. The reversal of 55585333440 is 4433358555.

55585333440 is a `hidden beast` number, since 5 + 5 + 585 + 33 + 34 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1008).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75216591 + ... + 75217329.

It is an arithmetic number, because the mean of its divisors is an integer number (243737130).

Almost surely, 2^55585333440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55585333440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122843513520).

55585333440 is an abundant number, since it is smaller than the sum of its proper divisors (190101693600).

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

55585333440 is a wasteful number, since it uses less digits than its factorization.

55585333440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 830 (or 810 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 45.

The spelling of 55585333440 in words is "fifty-five billion, five hundred eighty-five million, three hundred thirty-three thousand, four hundred forty".