11990684160 has 1440 divisors, whose sum is σ = 56034538560. Its totient is φ = 2341011456.

The previous prime is 11990684113. The next prime is 11990684161. The reversal of 11990684160 is 6148609911.

It is a tau number, because it is divible by the number of its divisors (1440).

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 (11990684161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 278853099 + ... + 278853141.

It is an arithmetic number, because the mean of its divisors is an integer number (38912874).

Almost surely, 2^11990684160 is an apocalyptic number.

11990684160 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 11990684160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28017269280).

11990684160 is an abundant number, since it is smaller than the sum of its proper divisors (44043854400).

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

11990684160 is a wasteful number, since it uses less digits than its factorization.

11990684160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 45.

The spelling of 11990684160 in words is "eleven billion, nine hundred ninety million, six hundred eighty-four thousand, one hundred sixty".