11258311680000 has 3360 divisors, whose sum is σ = 53653533373440. Its totient is φ = 2202992640000.

The previous prime is 11258311679969. The next prime is 11258311680041. The reversal of 11258311680000 is 8611385211.

11258311680000 is a `hidden beast` number, since 1 + 1 + 2 + 583 + 11 + 68 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3360).

It is a super-3 number, since 3×11258311680000³ (a number of 40 digits) contains 333 as substring.

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

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 239 ways as a sum of consecutive naturals, for example, 67415039917 + ... + 67415040083.

It is an arithmetic number, because the mean of its divisors is an integer number (15968313504).

Almost surely, 2^{11258311680000} is an apocalyptic number.

11258311680000 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 11258311680000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26826766686720).

11258311680000 is an abundant number, since it is smaller than the sum of its proper divisors (42395221693440).

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

11258311680000 is a wasteful number, since it uses less digits than its factorization.

11258311680000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The spelling of 11258311680000 in words is "eleven trillion, two hundred fifty-eight billion, three hundred eleven million, six hundred eighty thousand".