11890514880 has 196 divisors, whose sum is σ = 42452845752. Its totient is φ = 3170741760.

The previous prime is 11890514873. The next prime is 11890514893. The reversal of 11890514880 is 8841509811.

11890514880 is a `hidden beast` number, since 118 + 9 + 0 + 51 + 488 + 0 = 666.

11890514880 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11890514880² (a number of 21 digits) contains 22 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 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 27 ways as a sum of consecutive naturals, for example, 207795 + ... + 258765.

Almost surely, 2^11890514880 is an apocalyptic number.

11890514880 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 11890514880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21226422876).

11890514880 is an abundant number, since it is smaller than the sum of its proper divisors (30562330872).

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

11890514880 is an frugal number, since it uses more digits than its factorization.

11890514880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51006 (or 50981 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 45.

The spelling of 11890514880 in words is "eleven billion, eight hundred ninety million, five hundred fourteen thousand, eight hundred eighty".