11890463397120 has 1728 divisors, whose sum is σ = 56671142621184. Its totient is φ = 2224238100480.

The previous prime is 11890463397083. The next prime is 11890463397151. The reversal of 11890463397120 is 2179336409811.

11890463397120 is a `hidden beast` number, since 1 + 1 + 8 + 90 + 46 + 3 + 397 + 120 = 666.

It is a super-3 number, since 3×11890463397120³ (a number of 40 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 191 ways as a sum of consecutive naturals, for example, 346815499 + ... + 346849781.

It is an arithmetic number, because the mean of its divisors is an integer number (32795800128).

Almost surely, 2^{11890463397120} is an apocalyptic number.

11890463397120 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 11890463397120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28335571310592).

11890463397120 is an abundant number, since it is smaller than the sum of its proper divisors (44780679224064).

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

11890463397120 is a wasteful number, since it uses less digits than its factorization.

11890463397120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34368 (or 34351 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 11890463397120 in words is "eleven trillion, eight hundred ninety billion, four hundred sixty-three million, three hundred ninety-seven thousand, one hundred twenty".