10858135960 has 256 divisors, whose sum is σ = 31321728000. Its totient is φ = 3297853440.

The previous prime is 10858135957. The next prime is 10858135963. The reversal of 10858135960 is 6953185801.

It is an interprime number because it is at equal distance from previous prime (10858135957) and next prime (10858135963).

It is a self number, because there is not a number n which added to its sum of digits gives 10858135960.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10858135963) 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, 19082556 + ... + 19083124.

It is an arithmetic number, because the mean of its divisors is an integer number (122350500).

Almost surely, 2^10858135960 is an apocalyptic number.

10858135960 is a gapful number since it is divisible by the number (10) 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 10858135960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15660864000).

10858135960 is an abundant number, since it is smaller than the sum of its proper divisors (20463592040).

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

10858135960 is a wasteful number, since it uses less digits than its factorization.

10858135960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 830 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 46.

The spelling of 10858135960 in words is "ten billion, eight hundred fifty-eight million, one hundred thirty-five thousand, nine hundred sixty".