55776342720 has 448 divisors, whose sum is σ = 206200857600. Its totient is φ = 12511150080.

The previous prime is 55776342673. The next prime is 55776342757. The reversal of 55776342720 is 2724367755.

55776342720 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 (448).

It is a super-2 number, since 2×55776342720² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 55776342720.

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, 107056060 + ... + 107056580.

Almost surely, 2^55776342720 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 55776342720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103100428800).

55776342720 is an abundant number, since it is smaller than the sum of its proper divisors (150424514880).

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

55776342720 is a wasteful number, since it uses less digits than its factorization.

55776342720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 816 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 2469600, while the sum is 48.

The spelling of 55776342720 in words is "fifty-five billion, seven hundred seventy-six million, three hundred forty-two thousand, seven hundred twenty".