11741972760 has 512 divisors, whose sum is σ = 47696947200. Its totient is φ = 2508226560.

The previous prime is 11741972699. The next prime is 11741972761. The reversal of 11741972760 is 6727914711.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11741972761) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 27117504 + ... + 27117936.

It is an arithmetic number, because the mean of its divisors is an integer number (93158100).

Almost surely, 2^11741972760 is an apocalyptic number.

11741972760 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 11741972760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23848473600).

11741972760 is an abundant number, since it is smaller than the sum of its proper divisors (35954974440).

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

11741972760 is a wasteful number, since it uses less digits than its factorization.

11741972760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 688 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 148176, while the sum is 45.

The spelling of 11741972760 in words is "eleven billion, seven hundred forty-one million, nine hundred seventy-two thousand, seven hundred sixty".