55135889760 has 288 divisors, whose sum is σ = 202920917472. Its totient is φ = 12547153920.

The previous prime is 55135889749. The next prime is 55135889797. The reversal of 55135889760 is 6798853155.

It is a happy number.

55135889760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×55135889760³ (a number of 33 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 55135889760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5475130 + ... + 5485190.

It is an arithmetic number, because the mean of its divisors is an integer number (704586519).

Almost surely, 2^55135889760 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 55135889760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101460458736).

55135889760 is an abundant number, since it is smaller than the sum of its proper divisors (147785027712).

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

55135889760 is a wasteful number, since it uses less digits than its factorization.

55135889760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10326 (or 10311 counting only the distinct ones).

The product of its (nonzero) digits is 9072000, while the sum is 57.

The spelling of 55135889760 in words is "fifty-five billion, one hundred thirty-five million, eight hundred eighty-nine thousand, seven hundred sixty".