10861641840 has 240 divisors, whose sum is σ = 41230753920. Its totient is φ = 2351946240.

The previous prime is 10861641781. The next prime is 10861641871. The reversal of 10861641840 is 4814616801.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 199135 + ... + 247745.

It is an arithmetic number, because the mean of its divisors is an integer number (171794808).

Almost surely, 2^10861641840 is an apocalyptic number.

10861641840 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 10861641840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20615376960).

10861641840 is an abundant number, since it is smaller than the sum of its proper divisors (30369112080).

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

10861641840 is a wasteful number, since it uses less digits than its factorization.

10861641840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48660 (or 48647 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The spelling of 10861641840 in words is "ten billion, eight hundred sixty-one million, six hundred forty-one thousand, eight hundred forty".