11534292000 has 1536 divisors, whose sum is σ = 55854489600. Its totient is φ = 2239488000.

The previous prime is 11534291987. The next prime is 11534292017. The reversal of 11534292000 is 29243511.

11534292000 is a `hidden beast` number, since 115 + 342 + 9 + 200 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 158003964 + ... + 158004036.

It is an arithmetic number, because the mean of its divisors is an integer number (36363600).

Almost surely, 2^11534292000 is an apocalyptic number.

11534292000 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 11534292000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27927244800).

11534292000 is an abundant number, since it is smaller than the sum of its proper divisors (44320197600).

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

11534292000 is a wasteful number, since it uses less digits than its factorization.

11534292000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The spelling of 11534292000 in words is "eleven billion, five hundred thirty-four million, two hundred ninety-two thousand".