11532876829740 has 864 divisors, whose sum is σ = 43036587135360. Its totient is φ = 2487640522752.

The previous prime is 11532876829739. The next prime is 11532876829757. The reversal of 11532876829740 is 4792867823511.

11532876829740 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 287 + 68 + 297 + 4 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 8048064064 + ... + 8048065496.

It is an arithmetic number, because the mean of its divisors is an integer number (49810864740).

It is a 1-persistent number, because it is pandigital, but 2⋅11532876829740 = 23065753659480 is not.

Almost surely, 2^{11532876829740} is an apocalyptic number.

11532876829740 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 11532876829740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21518293567680).

11532876829740 is an abundant number, since it is smaller than the sum of its proper divisors (31503710305620).

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

11532876829740 is a wasteful number, since it uses less digits than its factorization.

11532876829740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1991 (or 1979 counting only the distinct ones).

The product of its (nonzero) digits is 40642560, while the sum is 63.

The spelling of 11532876829740 in words is "eleven trillion, five hundred thirty-two billion, eight hundred seventy-six million, eight hundred twenty-nine thousand, seven hundred forty".