11375190928872 has 384 divisors, whose sum is σ = 33122136902400. Its totient is φ = 3654844416000.

The previous prime is 11375190928859. The next prime is 11375190928889. The reversal of 11375190928872 is 27882909157311.

11375190928872 is a `hidden beast` number, since 1 + 1 + 37 + 519 + 0 + 9 + 2 + 8 + 87 + 2 = 666.

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, 7105052872 + ... + 7105054472.

It is an arithmetic number, because the mean of its divisors is an integer number (86255564850).

Almost surely, 2^{11375190928872} is an apocalyptic number.

11375190928872 is a gapful number since it is divisible by the number (12) 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 11375190928872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16561068451200).

11375190928872 is an abundant number, since it is smaller than the sum of its proper divisors (21746945973528).

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

11375190928872 is a wasteful number, since it uses less digits than its factorization.

11375190928872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2679 (or 2663 counting only the distinct ones).

The product of its (nonzero) digits is 15240960, while the sum is 63.

The spelling of 11375190928872 in words is "eleven trillion, three hundred seventy-five billion, one hundred ninety million, nine hundred twenty-eight thousand, eight hundred seventy-two".