1151787882240 has 432 divisors, whose sum is σ = 4014625305600. Its totient is φ = 304874938368.

The previous prime is 1151787882227. The next prime is 1151787882317. The reversal of 1151787882240 is 422887871511.

1151787882240 is a `hidden beast` number, since 1 + 1 + 517 + 8 + 7 + 8 + 82 + 2 + 40 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1340846931 + ... + 1340847789.

Almost surely, 2^{1151787882240} is an apocalyptic number.

1151787882240 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 1151787882240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2007312652800).

1151787882240 is an abundant number, since it is smaller than the sum of its proper divisors (2862837423360).

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

1151787882240 is a wasteful number, since it uses less digits than its factorization.

1151787882240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1595 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 54.

The spelling of 1151787882240 in words is "one trillion, one hundred fifty-one billion, seven hundred eighty-seven million, eight hundred eighty-two thousand, two hundred forty".