10082771420 has 48 divisors (see below), whose sum is σ = 22508992800. Its totient is φ = 3782995200.

The previous prime is 10082771399. The next prime is 10082771423. The reversal of 10082771420 is 2417728001.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10082771423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92975 + ... + 169734.

It is an arithmetic number, because the mean of its divisors is an integer number (468937350).

Almost surely, 2^10082771420 is an apocalyptic number.

10082771420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10082771420 is an abundant number, since it is smaller than the sum of its proper divisors (12426221380).

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

10082771420 is a wasteful number, since it uses less digits than its factorization.

10082771420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262838 (or 262836 counting only the distinct ones).

The product of its (nonzero) digits is 6272, while the sum is 32.

The spelling of 10082771420 in words is "ten billion, eighty-two million, seven hundred seventy-one thousand, four hundred twenty".