56034123408 has 320 divisors, whose sum is σ = 172788940800. Its totient is φ = 17347115520.

The previous prime is 56034123403. The next prime is 56034123461. The reversal of 56034123408 is 80432143065.

56034123408 is a `hidden beast` number, since 5 + 603 + 4 + 1 + 2 + 3 + 40 + 8 = 666.

56034123408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×56034123408² (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (56034123403) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86605741 + ... + 86606387.

It is an arithmetic number, because the mean of its divisors is an integer number (539965440).

Almost surely, 2^56034123408 is an apocalyptic number.

56034123408 is a gapful number since it is divisible by the number (58) 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 56034123408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86394470400).

56034123408 is an abundant number, since it is smaller than the sum of its proper divisors (116754817392).

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

56034123408 is a wasteful number, since it uses less digits than its factorization.

56034123408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 56034123408 in words is "fifty-six billion, thirty-four million, one hundred twenty-three thousand, four hundred eight".