56089677600 has 432 divisors, whose sum is σ = 228464439840. Its totient is φ = 12797337600.

The previous prime is 56089677599. The next prime is 56089677629. The reversal of 56089677600 is 677698065.

It is a happy number.

56089677600 is a `hidden beast` number, since 560 + 8 + 9 + 6 + 7 + 76 + 0 + 0 = 666.

It is a super-3 number, since 3×56089677600³ (a number of 33 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1325571 + ... + 1367229.

It is an arithmetic number, because the mean of its divisors is an integer number (528852870).

Almost surely, 2^56089677600 is an apocalyptic number.

56089677600 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 56089677600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114232219920).

56089677600 is an abundant number, since it is smaller than the sum of its proper divisors (172374762240).

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

56089677600 is a wasteful number, since it uses less digits than its factorization.

56089677600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41713 (or 41697 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 56089677600 in words is "fifty-six billion, eighty-nine million, six hundred seventy-seven thousand, six hundred".