55677242880 has 240 divisors, whose sum is σ = 220373154144. Its totient is φ = 12726190080.

The previous prime is 55677242869. The next prime is 55677242899. The reversal of 55677242880 is 8824277655.

55677242880 is a `hidden beast` number, since 5 + 567 + 72 + 4 + 2 + 8 + 8 + 0 = 666.

55677242880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11331 + ... + 333890.

Almost surely, 2^55677242880 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 55677242880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110186577072).

55677242880 is an abundant number, since it is smaller than the sum of its proper divisors (164695911264).

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

55677242880 is a wasteful number, since it uses less digits than its factorization.

55677242880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 345257 (or 345238 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 54.

The spelling of 55677242880 in words is "fifty-five billion, six hundred seventy-seven million, two hundred forty-two thousand, eight hundred eighty".