55705708800 has 1944 divisors, whose sum is σ = 260305901856. Its totient is φ = 11705057280.

The previous prime is 55705708787. The next prime is 55705708823. The reversal of 55705708800 is 880750755.

It is a happy number.

55705708800 is a `hidden beast` number, since 5 + 5 + 70 + 570 + 8 + 8 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1944).

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 215 ways as a sum of consecutive naturals, for example, 1295481579 + ... + 1295481621.

Almost surely, 2^55705708800 is an apocalyptic number.

55705708800 is a gapful number since it is divisible by the number (50) 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 55705708800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130152950928).

55705708800 is an abundant number, since it is smaller than the sum of its proper divisors (204600193056).

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

55705708800 is a wasteful number, since it uses less digits than its factorization.

55705708800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 115 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 392000, while the sum is 45.

The spelling of 55705708800 in words is "fifty-five billion, seven hundred five million, seven hundred eight thousand, eight hundred".