11971734840 has 384 divisors, whose sum is σ = 43023052800. Its totient is φ = 2869079040.

The previous prime is 11971734829. The next prime is 11971734881. The reversal of 11971734840 is 4843717911.

11971734840 is a `hidden beast` number, since 11 + 97 + 1 + 73 + 484 + 0 = 666.

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

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, 52738807 + ... + 52739033.

It is an arithmetic number, because the mean of its divisors is an integer number (112039200).

Almost surely, 2^11971734840 is an apocalyptic number.

11971734840 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 11971734840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21511526400).

11971734840 is an abundant number, since it is smaller than the sum of its proper divisors (31051317960).

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

11971734840 is a wasteful number, since it uses less digits than its factorization.

11971734840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 500 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The spelling of 11971734840 in words is "eleven billion, nine hundred seventy-one million, seven hundred thirty-four thousand, eight hundred forty".