11324757829140 has 576 divisors, whose sum is σ = 42798615874560. Its totient is φ = 2366906572800.

The previous prime is 11324757828941. The next prime is 11324757829207. The reversal of 11324757829140 is 4192875742311.

It is a happy number.

11324757829140 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 4 + 7 + 578 + 29 + 1 + 40 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 84815712 + ... + 84949128.

It is an arithmetic number, because the mean of its divisors is an integer number (74303152560).

Almost surely, 2^{11324757829140} is an apocalyptic number.

11324757829140 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 11324757829140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21399307937280).

11324757829140 is an abundant number, since it is smaller than the sum of its proper divisors (31473858045420).

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

11324757829140 is a wasteful number, since it uses less digits than its factorization.

11324757829140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133592 (or 133587 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 11324757829140 in words is "eleven trillion, three hundred twenty-four billion, seven hundred fifty-seven million, eight hundred twenty-nine thousand, one hundred forty".