11752219488 has 96 divisors (see below), whose sum is σ = 31470888960. Its totient is φ = 3839247360.

The previous prime is 11752219483. The next prime is 11752219513. The reversal of 11752219488 is 88491225711.

It is a happy number.

11752219488 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×11752219488² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11752219483) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1033353 + ... + 1044663.

It is an arithmetic number, because the mean of its divisors is an integer number (327821760).

Almost surely, 2^11752219488 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11752219488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15735444480).

11752219488 is an abundant number, since it is smaller than the sum of its proper divisors (19718669472).

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

11752219488 is a wasteful number, since it uses less digits than its factorization.

11752219488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11540 (or 11532 counting only the distinct ones).

The product of its digits is 322560, while the sum is 48.

The spelling of 11752219488 in words is "eleven billion, seven hundred fifty-two million, two hundred nineteen thousand, four hundred eighty-eight".