11534019840 has 720 divisors, whose sum is σ = 48092049600. Its totient is φ = 2617380864.

The previous prime is 11534019797. The next prime is 11534019857. The reversal of 11534019840 is 4891043511.

11534019840 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 (720).

It is a super-2 number, since 2×11534019840² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11534019795 and 11534019804.

It is a congruent number.

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 79 ways as a sum of consecutive naturals, for example, 82978491 + ... + 82978629.

Almost surely, 2^11534019840 is an apocalyptic number.

11534019840 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 11534019840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24046024800).

11534019840 is an abundant number, since it is smaller than the sum of its proper divisors (36558029760).

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

11534019840 is an frugal number, since it uses more digits than its factorization.

11534019840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197 (or 156 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 36.

The spelling of 11534019840 in words is "eleven billion, five hundred thirty-four million, nineteen thousand, eight hundred forty".