11740511160 has 384 divisors, whose sum is σ = 46545408000. Its totient is φ = 2506733568.

The previous prime is 11740511131. The next prime is 11740511183. The reversal of 11740511160 is 6111504711.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3493561 + ... + 3496919.

It is an arithmetic number, because the mean of its divisors is an integer number (121212000).

Almost surely, 2^11740511160 is an apocalyptic number.

11740511160 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 11740511160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23272704000).

11740511160 is an abundant number, since it is smaller than the sum of its proper divisors (34804896840).

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

11740511160 is a wasteful number, since it uses less digits than its factorization.

11740511160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3475 (or 3468 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 27.

The spelling of 11740511160 in words is "eleven billion, seven hundred forty million, five hundred eleven thousand, one hundred sixty".