11508273000 has 384 divisors, whose sum is σ = 45995040000. Its totient is φ = 2539353600.

The previous prime is 11508272987. The next prime is 11508273019. The reversal of 11508273000 is 37280511.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1823851 + ... + 1830149.

It is an arithmetic number, because the mean of its divisors is an integer number (119778750).

Almost surely, 2^11508273000 is an apocalyptic number.

11508273000 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 11508273000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22997520000).

11508273000 is an abundant number, since it is smaller than the sum of its proper divisors (34486767000).

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

11508273000 is a wasteful number, since it uses less digits than its factorization.

11508273000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6362 (or 6345 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 11508273000 in words is "eleven billion, five hundred eight million, two hundred seventy-three thousand".