55709234784 has 768 divisors, whose sum is σ = 201587097600. Its totient is φ = 14631321600.

The previous prime is 55709234731. The next prime is 55709234797. The reversal of 55709234784 is 48743290755.

It is a happy number.

55709234784 is a `hidden beast` number, since 5 + 570 + 9 + 23 + 47 + 8 + 4 = 666.

55709234784 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 55709234784.

It is a congruent number.

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, 438655329 + ... + 438655455.

It is an arithmetic number, because the mean of its divisors is an integer number (262483200).

Almost surely, 2^55709234784 is an apocalyptic number.

55709234784 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55709234784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100793548800).

55709234784 is an abundant number, since it is smaller than the sum of its proper divisors (145877862816).

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

55709234784 is a wasteful number, since it uses less digits than its factorization.

55709234784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 55709234784 in words is "fifty-five billion, seven hundred nine million, two hundred thirty-four thousand, seven hundred eighty-four".