10082425410 has 96 divisors (see below), whose sum is σ = 26608458240. Its totient is φ = 2648484864.

The previous prime is 10082425393. The next prime is 10082425427. The reversal of 10082425410 is 1452428001.

10082425410 is a `hidden beast` number, since 1 + 0 + 0 + 8 + 242 + 5 + 410 = 666.

It is an interprime number because it is at equal distance from previous prime (10082425393) and next prime (10082425427).

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, 1944201 + ... + 1949379.

It is an arithmetic number, because the mean of its divisors is an integer number (277171440).

Almost surely, 2^10082425410 is an apocalyptic number.

10082425410 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10082425410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13304229120).

10082425410 is an abundant number, since it is smaller than the sum of its proper divisors (16526032830).

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

10082425410 is a wasteful number, since it uses less digits than its factorization.

10082425410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5512 (or 5509 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 10082425410 in words is "ten billion, eighty-two million, four hundred twenty-five thousand, four hundred ten".