10087466443884 has 216 divisors, whose sum is σ = 28698394770864. Its totient is φ = 3087499161600.

The previous prime is 10087466443853. The next prime is 10087466443889. The reversal of 10087466443884 is 48834466478001.

10087466443884 is a `hidden beast` number, since 1 + 0 + 0 + 87 + 46 + 6 + 4 + 438 + 84 = 666.

10087466443884 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10087466443889) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 27595264 + ... + 27958424.

It is an arithmetic number, because the mean of its divisors is an integer number (132862938754).

Almost surely, 2^{10087466443884} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10087466443884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14349197385432).

10087466443884 is an abundant number, since it is smaller than the sum of its proper divisors (18610928326980).

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

10087466443884 is a wasteful number, since it uses less digits than its factorization.

10087466443884 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363279 (or 363224 counting only the distinct ones).

The product of its (nonzero) digits is 99090432, while the sum is 63.

The spelling of 10087466443884 in words is "ten trillion, eighty-seven billion, four hundred sixty-six million, four hundred forty-three thousand, eight hundred eighty-four".