10815561240 has 256 divisors, whose sum is σ = 36643622400. Its totient is φ = 2531020800.

The previous prime is 10815561233. The next prime is 10815561259. The reversal of 10815561240 is 4216551801.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

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 63 ways as a sum of consecutive naturals, for example, 5050570 + ... + 5052710.

It is an arithmetic number, because the mean of its divisors is an integer number (143139150).

Almost surely, 2^10815561240 is an apocalyptic number.

10815561240 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 10815561240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18321811200).

10815561240 is an abundant number, since it is smaller than the sum of its proper divisors (25828061160).

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

10815561240 is a wasteful number, since it uses less digits than its factorization.

10815561240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2298 (or 2294 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 33.

The spelling of 10815561240 in words is "ten billion, eight hundred fifteen million, five hundred sixty-one thousand, two hundred forty".