55935135360 has 1024 divisors, whose sum is σ = 229732070400. Its totient is φ = 12740198400.

The previous prime is 55935135353. The next prime is 55935135379. The reversal of 55935135360 is 6353153955.

55935135360 is a `hidden beast` number, since 5 + 593 + 5 + 1 + 3 + 53 + 6 + 0 = 666.

55935135360 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 127 ways as a sum of consecutive naturals, for example, 370431285 + ... + 370431435.

It is an arithmetic number, because the mean of its divisors is an integer number (224347725).

Almost surely, 2^55935135360 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 55935135360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114866035200).

55935135360 is an abundant number, since it is smaller than the sum of its proper divisors (173796935040).

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

55935135360 is a wasteful number, since it uses less digits than its factorization.

55935135360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306 (or 288 counting only the distinct ones).

The product of its (nonzero) digits is 911250, while the sum is 45.

The spelling of 55935135360 in words is "fifty-five billion, nine hundred thirty-five million, one hundred thirty-five thousand, three hundred sixty".