11375732100096 has 528 divisors, whose sum is σ = 40669878273024. Its totient is φ = 2982191136768.

The previous prime is 11375732100091. The next prime is 11375732100101. The reversal of 11375732100096 is 69000123757311.

It is an interprime number because it is at equal distance from previous prime (11375732100091) and next prime (11375732100101).

It is not an unprimeable number, because it can be changed into a prime (11375732100091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 140014941 + ... + 140096163.

It is an arithmetic number, because the mean of its divisors is an integer number (77026284608).

Almost surely, 2^{11375732100096} is an apocalyptic number.

11375732100096 is a gapful number since it is divisible by the number (16) 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 11375732100096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20334939136512).

11375732100096 is an abundant number, since it is smaller than the sum of its proper divisors (29294146172928).

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

11375732100096 is a wasteful number, since it uses less digits than its factorization.

11375732100096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81436 (or 81415 counting only the distinct ones).

The product of its (nonzero) digits is 238140, while the sum is 45.

The spelling of 11375732100096 in words is "eleven trillion, three hundred seventy-five billion, seven hundred thirty-two million, one hundred thousand, ninety-six".