11329887131640 has 4608 divisors, whose sum is σ = 54882315936000. Its totient is φ = 2060090081280.

The previous prime is 11329887131599. The next prime is 11329887131713. The reversal of 11329887131640 is 4613178892311.

11329887131640 is a `hidden beast` number, since 1 + 132 + 98 + 8 + 71 + 316 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 1151 ways as a sum of consecutive naturals, for example, 116802960072 + ... + 116802960168.

Almost surely, 2^{11329887131640} is an apocalyptic number.

11329887131640 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 11329887131640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27441157968000).

11329887131640 is an abundant number, since it is smaller than the sum of its proper divisors (43552428804360).

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

11329887131640 is a wasteful number, since it uses less digits than its factorization.

11329887131640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 54.

It can be divided in two parts, 1132988 and 7131640, that added together give a palindrome (8264628).

The spelling of 11329887131640 in words is "eleven trillion, three hundred twenty-nine billion, eight hundred eighty-seven million, one hundred thirty-one thousand, six hundred forty".