11740875520 has 288 divisors, whose sum is σ = 32570044416. Its totient is φ = 4014489600.

The previous prime is 11740875499. The next prime is 11740875547. The reversal of 11740875520 is 2557804711.

11740875520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11740875520² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16149397 + ... + 16150123.

It is an arithmetic number, because the mean of its divisors is an integer number (113090432).

Almost surely, 2^11740875520 is an apocalyptic number.

11740875520 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 11740875520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16285022208).

11740875520 is an abundant number, since it is smaller than the sum of its proper divisors (20829168896).

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

11740875520 is a wasteful number, since it uses less digits than its factorization.

11740875520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 827 (or 813 counting only the distinct ones).

The product of its (nonzero) digits is 78400, while the sum is 40.

The spelling of 11740875520 in words is "eleven billion, seven hundred forty million, eight hundred seventy-five thousand, five hundred twenty".