56578318434 has 96 divisors (see below), whose sum is σ = 137281248000. Its totient is φ = 16695694080.

The previous prime is 56578318429. The next prime is 56578318451. The reversal of 56578318434 is 43481387565.

56578318434 is a `hidden beast` number, since 5 + 6 + 578 + 31 + 8 + 4 + 34 = 666.

It is a super-3 number, since 3×56578318434³ (a number of 33 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1117092 + ... + 1166640.

It is an arithmetic number, because the mean of its divisors is an integer number (1430013000).

Almost surely, 2^56578318434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56578318434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68640624000).

56578318434 is an abundant number, since it is smaller than the sum of its proper divisors (80702929566).

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

56578318434 is a wasteful number, since it uses less digits than its factorization.

56578318434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49720 (or 49717 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 54.

The spelling of 56578318434 in words is "fifty-six billion, five hundred seventy-eight million, three hundred eighteen thousand, four hundred thirty-four".