10082531380194 has 384 divisors, whose sum is σ = 29052603740160. Its totient is φ = 2452724209152.

The previous prime is 10082531380183. The next prime is 10082531380277. The reversal of 10082531380194 is 49108313528001.

10082531380194 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 253 + 1 + 380 + 19 + 4 = 666.

10082531380194 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 424212099 + ... + 424235865.

It is an arithmetic number, because the mean of its divisors is an integer number (75657822240).

Almost surely, 2^{10082531380194} is an apocalyptic number.

10082531380194 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10082531380194, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14526301870080).

10082531380194 is an abundant number, since it is smaller than the sum of its proper divisors (18970072359966).

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

10082531380194 is a wasteful number, since it uses less digits than its factorization.

10082531380194 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24174 (or 24171 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10082531380194 in words is "ten trillion, eighty-two billion, five hundred thirty-one million, three hundred eighty thousand, one hundred ninety-four".