55934114880 has 224 divisors, whose sum is σ = 203110917120. Its totient is φ = 12775495680.

The previous prime is 55934114861. The next prime is 55934114881. The reversal of 55934114880 is 8841143955.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (55934114881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13511851 + ... + 13515989.

Almost surely, 2^55934114880 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 55934114880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101555458560).

55934114880 is an abundant number, since it is smaller than the sum of its proper divisors (147176802240).

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

55934114880 is a wasteful number, since it uses less digits than its factorization.

55934114880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6177 (or 6167 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 48.

The spelling of 55934114880 in words is "fifty-five billion, nine hundred thirty-four million, one hundred fourteen thousand, eight hundred eighty".