1158538000 has 80 divisors (see below), whose sum is σ = 2810663856. Its totient is φ = 461875200.

The previous prime is 1158537979. The next prime is 1158538013. The reversal of 1158538000 is 8358511.

It can be written as a sum of positive squares in 8 ways, for example, as 612661504 + 545876496 = 24752^2 + 23364^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 745224 + ... + 746776.

Almost surely, 2^1158538000 is an apocalyptic number.

1158538000 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 1158538000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1405331928).

1158538000 is an abundant number, since it is smaller than the sum of its proper divisors (1652125856).

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

1158538000 is a wasteful number, since it uses less digits than its factorization.

1158538000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1949 (or 1933 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 31.

The square root of 1158538000 is about 34037.3030659011. The cubic root of 1158538000 is about 1050.2759667672.

The spelling of 1158538000 in words is "one billion, one hundred fifty-eight million, five hundred thirty-eight thousand".