11455588890 has 64 divisors (see below), whose sum is σ = 32345205120. Its totient is φ = 2875127040.

The previous prime is 11455588883. The next prime is 11455588891. The reversal of 11455588890 is 9888555411.

11455588890 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 558 + 8 + 89 + 0 = 666.

11455588890 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (11455588891) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1243296 + ... + 1252475.

It is an arithmetic number, because the mean of its divisors is an integer number (505393830).

Almost surely, 2^11455588890 is an apocalyptic number.

11455588890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11455588890 is an abundant number, since it is smaller than the sum of its proper divisors (20889616230).

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

11455588890 is a wasteful number, since it uses less digits than its factorization.

11455588890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2495804 (or 2495798 counting only the distinct ones).

The product of its (nonzero) digits is 2304000, while the sum is 54.

The spelling of 11455588890 in words is "eleven billion, four hundred fifty-five million, five hundred eighty-eight thousand, eight hundred ninety".