55586077760 has 448 divisors, whose sum is σ = 153465580800. Its totient is φ = 19046596608.

The previous prime is 55586077733. The next prime is 55586077783. The reversal of 55586077760 is 6777068555.

It is a hoax number, since the sum of its digits (56) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 55586077696 and 55586077705.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 399899771 + ... + 399899909.

It is an arithmetic number, because the mean of its divisors is an integer number (342557100).

Almost surely, 2^55586077760 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 55586077760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76732790400).

55586077760 is an abundant number, since it is smaller than the sum of its proper divisors (97879503040).

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

55586077760 is a wasteful number, since it uses less digits than its factorization.

55586077760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 318 (or 308 counting only the distinct ones).

The product of its (nonzero) digits is 12348000, while the sum is 56.

The spelling of 55586077760 in words is "fifty-five billion, five hundred eighty-six million, seventy-seven thousand, seven hundred sixty".