1187053056 has 480 divisors, whose sum is σ = 4289725440. Its totient is φ = 320495616.

The previous prime is 1187053019. The next prime is 1187053057. The reversal of 1187053056 is 6503507811.

1187053056 is a `hidden beast` number, since 1 + 1 + 8 + 70 + 530 + 56 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1187053056.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1187053057) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25256425 + ... + 25256471.

It is an arithmetic number, because the mean of its divisors is an integer number (8936928).

Almost surely, 2^1187053056 is an apocalyptic number.

1187053056 is a gapful number since it is divisible by the number (16) 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 1187053056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144862720).

1187053056 is an abundant number, since it is smaller than the sum of its proper divisors (3102672384).

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

1187053056 is an frugal number, since it uses more digits than its factorization.

1187053056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The square root of 1187053056 is about 34453.6363247771. The cubic root of 1187053056 is about 1058.8230249409.

The spelling of 1187053056 in words is "one billion, one hundred eighty-seven million, fifty-three thousand, fifty-six".