11578131840 has 768 divisors, whose sum is σ = 44409657600. Its totient is φ = 2554675200.

The previous prime is 11578131839. The next prime is 11578131847. The reversal of 11578131840 is 4813187511.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11578131847) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 189805410 + ... + 189805470.

It is an arithmetic number, because the mean of its divisors is an integer number (57825075).

Almost surely, 2^11578131840 is an apocalyptic number.

11578131840 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 11578131840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22204828800).

11578131840 is an abundant number, since it is smaller than the sum of its proper divisors (32831525760).

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

11578131840 is a wasteful number, since it uses less digits than its factorization.

11578131840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 167 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 39.

The spelling of 11578131840 in words is "eleven billion, five hundred seventy-eight million, one hundred thirty-one thousand, eight hundred forty".