11501079840 has 480 divisors, whose sum is σ = 42679042560. Its totient is φ = 2912716800.

The previous prime is 11501079833. The next prime is 11501079851. The reversal of 11501079840 is 4897010511.

11501079840 is a `hidden beast` number, since 1 + 1 + 501 + 0 + 79 + 84 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 = 11501079795 and 11501079804.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 26684425 + ... + 26684855.

It is an arithmetic number, because the mean of its divisors is an integer number (88914672).

Almost surely, 2^11501079840 is an apocalyptic number.

11501079840 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 11501079840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21339521280).

11501079840 is an abundant number, since it is smaller than the sum of its proper divisors (31177962720).

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

11501079840 is a wasteful number, since it uses less digits than its factorization.

11501079840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 36.

The spelling of 11501079840 in words is "eleven billion, five hundred one million, seventy-nine thousand, eight hundred forty".