11487903605640 has 1536 divisors, whose sum is σ = 51787620864000. Its totient is φ = 2261283816960.

The previous prime is 11487903605627. The next prime is 11487903605657. The reversal of 11487903605640 is 4650630978411.

11487903605640 is a `hidden beast` number, since 1 + 1 + 4 + 8 + 79 + 0 + 3 + 6 + 0 + 564 + 0 = 666.

11487903605640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 895876269 + ... + 895889091.

It is an arithmetic number, because the mean of its divisors is an integer number (33715899000).

Almost surely, 2^{11487903605640} is an apocalyptic number.

11487903605640 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 11487903605640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25893810432000).

11487903605640 is an abundant number, since it is smaller than the sum of its proper divisors (40299717258360).

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

11487903605640 is a wasteful number, since it uses less digits than its factorization.

11487903605640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12899 (or 12870 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 11487903605640 in words is "eleven trillion, four hundred eighty-seven billion, nine hundred three million, six hundred five thousand, six hundred forty".