10845551880 has 288 divisors, whose sum is σ = 39397152600. Its totient is φ = 2578231296.

The previous prime is 10845551833. The next prime is 10845551933. The reversal of 10845551880 is 8815554801.

10845551880 is a `hidden beast` number, since 1 + 0 + 8 + 4 + 55 + 518 + 80 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 10833062724 + 12489156 = 104082^2 + 3534^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 2206866 + ... + 2211774.

Almost surely, 2^10845551880 is an apocalyptic number.

10845551880 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 10845551880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19698576300).

10845551880 is an abundant number, since it is smaller than the sum of its proper divisors (28551600720).

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

10845551880 is a wasteful number, since it uses less digits than its factorization.

10845551880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4981 (or 4955 counting only the distinct ones).

The product of its (nonzero) digits is 256000, while the sum is 45.

The spelling of 10845551880 in words is "ten billion, eight hundred forty-five million, five hundred fifty-one thousand, eight hundred eighty".