11534804160 has 336 divisors, whose sum is σ = 40538400000. Its totient is φ = 2776688640.

The previous prime is 11534804159. The next prime is 11534804161. The reversal of 11534804160 is 6140843511.

It is an interprime number because it is at equal distance from previous prime (11534804159) and next prime (11534804161).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (11534804161) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23115591 + ... + 23116089.

It is an arithmetic number, because the mean of its divisors is an integer number (120650000).

Almost surely, 2^11534804160 is an apocalyptic number.

11534804160 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 11534804160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20269200000).

11534804160 is an abundant number, since it is smaller than the sum of its proper divisors (29003595840).

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

11534804160 is a wasteful number, since it uses less digits than its factorization.

11534804160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 740 (or 719 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 33.

The spelling of 11534804160 in words is "eleven billion, five hundred thirty-four million, eight hundred four thousand, one hundred sixty".