56109233029248 has 1152 divisors, whose sum is σ = 201457834905600. Its totient is φ = 15483439319040.

The previous prime is 56109233029237. The next prime is 56109233029249. The reversal of 56109233029248 is 84292033290165.

56109233029248 is a `hidden beast` number, since 5 + 6 + 1 + 0 + 92 + 3 + 302 + 9 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×56109233029248² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56109233029194 and 56109233029203.

It is not an unprimeable number, because it can be changed into a prime (56109233029249) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 34915514461 + ... + 34915516067.

It is an arithmetic number, because the mean of its divisors is an integer number (174876592800).

Almost surely, 2^{56109233029248} 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 56109233029248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100728917452800).

56109233029248 is an abundant number, since it is smaller than the sum of its proper divisors (145348601876352).

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

56109233029248 is a wasteful number, since it uses less digits than its factorization.

56109233029248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2420 (or 2389 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 56109233029248 in words is "fifty-six trillion, one hundred nine billion, two hundred thirty-three million, twenty-nine thousand, two hundred forty-eight".