11764524072 has 128 divisors (see below), whose sum is σ = 34770528000. Its totient is φ = 3315078144.

The previous prime is 11764524053. The next prime is 11764524089. The reversal of 11764524072 is 27042546711.

It is a super-2 number, since 2×11764524072² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11764524072.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 591148 + ... + 610724.

It is an arithmetic number, because the mean of its divisors is an integer number (271644750).

Almost surely, 2^11764524072 is an apocalyptic number.

11764524072 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 11764524072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17385264000).

11764524072 is an abundant number, since it is smaller than the sum of its proper divisors (23006003928).

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

11764524072 is a wasteful number, since it uses less digits than its factorization.

11764524072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19680 (or 19662 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 39.

The spelling of 11764524072 in words is "eleven billion, seven hundred sixty-four million, five hundred twenty-four thousand, seventy-two".