11450702689920 has 384 divisors, whose sum is σ = 42619617331200. Its totient is φ = 2816164454400.

The previous prime is 11450702689919. The next prime is 11450702690093. The reversal of 11450702689920 is 2998620705411.

It is a happy number.

11450702689920 is a `hidden beast` number, since 1 + 1 + 4 + 507 + 0 + 26 + 8 + 99 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×11450702689920² (a number of 27 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 86120451 + ... + 86253309.

It is an arithmetic number, because the mean of its divisors is an integer number (110988586800).

Almost surely, 2^{11450702689920} is an apocalyptic number.

11450702689920 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 11450702689920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21309808665600).

11450702689920 is an abundant number, since it is smaller than the sum of its proper divisors (31168914641280).

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

11450702689920 is a wasteful number, since it uses less digits than its factorization.

11450702689920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134048 (or 134033 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 11450702689920 in words is "eleven trillion, four hundred fifty billion, seven hundred two million, six hundred eighty-nine thousand, nine hundred twenty".