10958825500 has 288 divisors, whose sum is σ = 29446889472. Its totient is φ = 3547152000.

The previous prime is 10958825489. The next prime is 10958825509. The reversal of 10958825500 is 552885901.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10958825509) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 35696347 + ... + 35696653.

It is an arithmetic number, because the mean of its divisors is an integer number (102246144).

Almost surely, 2^10958825500 is an apocalyptic number.

10958825500 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 10958825500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14723444736).

10958825500 is an abundant number, since it is smaller than the sum of its proper divisors (18488063972).

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

10958825500 is a wasteful number, since it uses less digits than its factorization.

10958825500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 399 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 43.

The spelling of 10958825500 in words is "ten billion, nine hundred fifty-eight million, eight hundred twenty-five thousand, five hundred".