11787070560 has 192 divisors, whose sum is σ = 38518115328. Its totient is φ = 3027677184.

The previous prime is 11787070549. The next prime is 11787070571. The reversal of 11787070560 is 6507078711.

It is an interprime number because it is at equal distance from previous prime (11787070549) and next prime (11787070571).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1502809 + ... + 1510631.

It is an arithmetic number, because the mean of its divisors is an integer number (200615184).

Almost surely, 2^11787070560 is an apocalyptic number.

11787070560 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 11787070560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19259057664).

11787070560 is an abundant number, since it is smaller than the sum of its proper divisors (26731044768).

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

11787070560 is a wasteful number, since it uses less digits than its factorization.

11787070560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7957 (or 7949 counting only the distinct ones).

The product of its (nonzero) digits is 82320, while the sum is 42.

The spelling of 11787070560 in words is "eleven billion, seven hundred eighty-seven million, seventy thousand, five hundred sixty".