10900445953880 has 256 divisors, whose sum is σ = 28468448870400. Its totient is φ = 3679307089920.

The previous prime is 10900445953867. The next prime is 10900445953883. The reversal of 10900445953880 is 8835954400901.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10900445953883) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4498738349 + ... + 4498740771.

It is an arithmetic number, because the mean of its divisors is an integer number (111204878400).

Almost surely, 2^{10900445953880} is an apocalyptic number.

10900445953880 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 10900445953880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14234224435200).

10900445953880 is an abundant number, since it is smaller than the sum of its proper divisors (17568002916520).

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

10900445953880 is a wasteful number, since it uses less digits than its factorization.

10900445953880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3434 (or 3430 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 56.

The spelling of 10900445953880 in words is "ten trillion, nine hundred billion, four hundred forty-five million, nine hundred fifty-three thousand, eight hundred eighty".