56116675440 has 240 divisors, whose sum is σ = 218597104128. Its totient is φ = 12635149824.

The previous prime is 56116675429. The next prime is 56116675513. The reversal of 56116675440 is 4457661165.

56116675440 is a `hidden beast` number, since 561 + 16 + 6 + 75 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254589 + ... + 420771.

Almost surely, 2^56116675440 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 56116675440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109298552064).

56116675440 is an abundant number, since it is smaller than the sum of its proper divisors (162480428688).

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

56116675440 is a wasteful number, since it uses less digits than its factorization.

56116675440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166276 (or 166267 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 56116675440 in words is "fifty-six billion, one hundred sixteen million, six hundred seventy-five thousand, four hundred forty".