11610128312640 has 1120 divisors, whose sum is σ = 50192969016960. Its totient is φ = 2508458803200.

The previous prime is 11610128312639. The next prime is 11610128312647. The reversal of 11610128312640 is 4621382101611.

11610128312640 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 0 + 1 + 2 + 8 + 3 + 1 + 2 + 640 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11610128312595 and 11610128312604.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11610128312647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 107436235 + ... + 107544245.

It is an arithmetic number, because the mean of its divisors is an integer number (44815150908).

Almost surely, 2^{11610128312640} is an apocalyptic number.

11610128312640 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 11610128312640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25096484508480).

11610128312640 is an abundant number, since it is smaller than the sum of its proper divisors (38582840704320).

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

11610128312640 is a wasteful number, since it uses less digits than its factorization.

11610128312640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 108093 (or 108074 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 36.

The spelling of 11610128312640 in words is "eleven trillion, six hundred ten billion, one hundred twenty-eight million, three hundred twelve thousand, six hundred forty".