56288340000 has 360 divisors, whose sum is σ = 201256014960. Its totient is φ = 14917824000.

The previous prime is 56288339983. The next prime is 56288340061. The reversal of 56288340000 is 4388265.

It is a tau number, because it is divible by the number of its divisors (360).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 32219127 + ... + 32220873.

It is an arithmetic number, because the mean of its divisors is an integer number (559044486).

Almost surely, 2^56288340000 is an apocalyptic number.

56288340000 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 56288340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100628007480).

56288340000 is an abundant number, since it is smaller than the sum of its proper divisors (144967674960).

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

56288340000 is a wasteful number, since it uses less digits than its factorization.

56288340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1936 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 36.

The spelling of 56288340000 in words is "fifty-six billion, two hundred eighty-eight million, three hundred forty thousand".