11506237512 has 384 divisors, whose sum is σ = 39305011200. Its totient is φ = 2740003200.

The previous prime is 11506237487. The next prime is 11506237529. The reversal of 11506237512 is 21573260511.

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 371168937 + ... + 371168967.

It is an arithmetic number, because the mean of its divisors is an integer number (102356800).

Almost surely, 2^11506237512 is an apocalyptic number.

11506237512 is a gapful number since it is divisible by the number (12) 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 11506237512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19652505600).

11506237512 is an abundant number, since it is smaller than the sum of its proper divisors (27798773688).

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

11506237512 is a wasteful number, since it uses less digits than its factorization.

11506237512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 12600, while the sum is 33.

The spelling of 11506237512 in words is "eleven billion, five hundred six million, two hundred thirty-seven thousand, five hundred twelve".