11610813258720 has 288 divisors, whose sum is σ = 43109639681472. Its totient is φ = 2828581502976.

The previous prime is 11610813258701. The next prime is 11610813258721. The reversal of 11610813258720 is 2785231801611.

11610813258720 is a `hidden beast` number, since 1 + 1 + 6 + 10 + 8 + 1 + 32 + 587 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×11610813258720³ (a number of 40 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11610813258721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1381252 + ... + 5012931.

It is an arithmetic number, because the mean of its divisors is an integer number (149686248894).

Almost surely, 2^{11610813258720} is an apocalyptic number.

11610813258720 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 11610813258720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21554819840736).

11610813258720 is an abundant number, since it is smaller than the sum of its proper divisors (31498826422752).

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

11610813258720 is a wasteful number, since it uses less digits than its factorization.

11610813258720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394314 (or 6394303 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 45.

The spelling of 11610813258720 in words is "eleven trillion, six hundred ten billion, eight hundred thirteen million, two hundred fifty-eight thousand, seven hundred twenty".