11498506240 has 192 divisors, whose sum is σ = 31465914480. Its totient is φ = 3995074560.

The previous prime is 11498506237. The next prime is 11498506259. The reversal of 11498506240 is 4260589411.

It can be written as a sum of positive squares in 8 ways, for example, as 2300929024 + 9197577216 = 47968^2 + 95904^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 11498506193 and 11498506202.

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 15 ways as a sum of consecutive naturals, for example, 2260500 + ... + 2265580.

Almost surely, 2^11498506240 is an apocalyptic number.

11498506240 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 11498506240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15732957240).

11498506240 is an abundant number, since it is smaller than the sum of its proper divisors (19967408240).

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

11498506240 is a wasteful number, since it uses less digits than its factorization.

11498506240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5138 (or 5118 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 40.

The spelling of 11498506240 in words is "eleven billion, four hundred ninety-eight million, five hundred six thousand, two hundred forty".