55714813378560 has 816 divisors, whose sum is σ = 221348594413440. Its totient is φ = 12699429765120.

The previous prime is 55714813378513. The next prime is 55714813378561. The reversal of 55714813378560 is 6587331841755.

55714813378560 is a `hidden beast` number, since 5 + 5 + 7 + 1 + 481 + 33 + 78 + 56 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (55714813378561) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7824011800 + ... + 7824018920.

Almost surely, 2^{55714813378560} 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 55714813378560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110674297206720).

55714813378560 is an abundant number, since it is smaller than the sum of its proper divisors (165633781034880).

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

55714813378560 is an equidigital number, since it uses as much as digits as its factorization.

55714813378560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7550 (or 7517 counting only the distinct ones).

The product of its (nonzero) digits is 84672000, while the sum is 63.

The spelling of 55714813378560 in words is "fifty-five trillion, seven hundred fourteen billion, eight hundred thirteen million, three hundred seventy-eight thousand, five hundred sixty".