10481858187840 has 672 divisors, whose sum is σ = 40572445769856. Its totient is φ = 2560421560320.

The previous prime is 10481858187803. The next prime is 10481858187859. The reversal of 10481858187840 is 4878185818401.

10481858187840 is a `hidden beast` number, since 1 + 0 + 4 + 8 + 1 + 8 + 581 + 8 + 7 + 8 + 40 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 132385704 + ... + 132464856.

It is an arithmetic number, because the mean of its divisors is an integer number (60375663348).

Almost surely, 2^{10481858187840} is an apocalyptic number.

10481858187840 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 10481858187840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20286222884928).

10481858187840 is an abundant number, since it is smaller than the sum of its proper divisors (30090587582016).

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

10481858187840 is a wasteful number, since it uses less digits than its factorization.

10481858187840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79329 (or 79307 counting only the distinct ones).

The product of its (nonzero) digits is 18350080, while the sum is 63.

The spelling of 10481858187840 in words is "ten trillion, four hundred eighty-one billion, eight hundred fifty-eight million, one hundred eighty-seven thousand, eight hundred forty".