11652506250 has 288 divisors, whose sum is σ = 36997756992. Its totient is φ = 2419200000.

The previous prime is 11652506233. The next prime is 11652506251. The reversal of 11652506250 is 5260525611.

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 (11652506251) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 10105674 + ... + 10106826.

It is an arithmetic number, because the mean of its divisors is an integer number (128464434).

Almost surely, 2^11652506250 is an apocalyptic number.

11652506250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11652506250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18498878496).

11652506250 is an abundant number, since it is smaller than the sum of its proper divisors (25345250742).

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

11652506250 is a wasteful number, since it uses less digits than its factorization.

11652506250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1208 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 33.

The spelling of 11652506250 in words is "eleven billion, six hundred fifty-two million, five hundred six thousand, two hundred fifty".