11595950520 has 256 divisors, whose sum is σ = 44772065280. Its totient is φ = 2331763200.

The previous prime is 11595950467. The next prime is 11595950573. The reversal of 11595950520 is 2505959511.

It is an interprime number because it is at equal distance from previous prime (11595950467) and next prime (11595950573).

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 266199 + ... + 306681.

It is an arithmetic number, because the mean of its divisors is an integer number (174890880).

Almost surely, 2^11595950520 is an apocalyptic number.

11595950520 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 11595950520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22386032640).

11595950520 is an abundant number, since it is smaller than the sum of its proper divisors (33176114760).

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

11595950520 is a wasteful number, since it uses less digits than its factorization.

11595950520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40546 (or 40542 counting only the distinct ones).

The product of its (nonzero) digits is 101250, while the sum is 42.

The spelling of 11595950520 in words is "eleven billion, five hundred ninety-five million, nine hundred fifty thousand, five hundred twenty".