10410581880 has 96 divisors (see below), whose sum is σ = 33976238400. Its totient is φ = 2764516608.

The previous prime is 10410581861. The next prime is 10410581893. The reversal of 10410581880 is 8818501401.

It is a happy number.

10410581880 is a `hidden beast` number, since 10 + 410 + 58 + 188 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25542 + ... + 146538.

It is an arithmetic number, because the mean of its divisors is an integer number (353919150).

Almost surely, 2^10410581880 is an apocalyptic number.

10410581880 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 10410581880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16988119200).

10410581880 is an abundant number, since it is smaller than the sum of its proper divisors (23565656520).

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

10410581880 is a wasteful number, since it uses less digits than its factorization.

10410581880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121253 (or 121246 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 36.

The spelling of 10410581880 in words is "ten billion, four hundred ten million, five hundred eighty-one thousand, eight hundred eighty".