11546273967360 has 576 divisors, whose sum is σ = 41758790492160. Its totient is φ = 2693615616000.

The previous prime is 11546273967343. The next prime is 11546273967407. The reversal of 11546273967360 is 6376937264511.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 11546273967294 and 11546273967303.

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 63 ways as a sum of consecutive naturals, for example, 234365130 + ... + 234414390.

It is an arithmetic number, because the mean of its divisors is an integer number (72497900160).

Almost surely, 2^{11546273967360} is an apocalyptic number.

11546273967360 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 11546273967360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20879395246080).

11546273967360 is an abundant number, since it is smaller than the sum of its proper divisors (30212516524800).

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

11546273967360 is a wasteful number, since it uses less digits than its factorization.

11546273967360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49506 (or 49492 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 60.

The spelling of 11546273967360 in words is "eleven trillion, five hundred forty-six billion, two hundred seventy-three million, nine hundred sixty-seven thousand, three hundred sixty".