10585434078 has 64 divisors (see below), whose sum is σ = 23928710400. Its totient is φ = 3468160800.

The previous prime is 10585434077. The next prime is 10585434089. The reversal of 10585434078 is 87043458501.

10585434078 is a `hidden beast` number, since 10 + 58 + 543 + 40 + 7 + 8 = 666.

It is a super-2 number, since 2×10585434078² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10585434077) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 751125 + ... + 765087.

It is an arithmetic number, because the mean of its divisors is an integer number (373886100).

Almost surely, 2^10585434078 is an apocalyptic number.

10585434078 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10585434078, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11964355200).

10585434078 is an abundant number, since it is smaller than the sum of its proper divisors (13343276322).

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

10585434078 is a wasteful number, since it uses less digits than its factorization.

10585434078 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14214 (or 14208 counting only the distinct ones).

The product of its (nonzero) digits is 537600, while the sum is 45.

The spelling of 10585434078 in words is "ten billion, five hundred eighty-five million, four hundred thirty-four thousand, seventy-eight".