11515345683840 has 1536 divisors, whose sum is σ = 43972703798400. Its totient is φ = 2765610811392.

The previous prime is 11515345683833. The next prime is 11515345683847. The reversal of 11515345683840 is 4838654351511.

11515345683840 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 5 + 3 + 4 + 568 + 38 + 40 = 666.

It is an interprime number because it is at equal distance from previous prime (11515345683833) and next prime (11515345683847).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11515345683847) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 49422084364 + ... + 49422084596.

Almost surely, 2^{11515345683840} is an apocalyptic number.

11515345683840 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 11515345683840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21986351899200).

11515345683840 is an abundant number, since it is smaller than the sum of its proper divisors (32457358114560).

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

11515345683840 is a wasteful number, since it uses less digits than its factorization.

11515345683840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 11515345683840 in words is "eleven trillion, five hundred fifteen billion, three hundred forty-five million, six hundred eighty-three thousand, eight hundred forty".