10420577052 has 48 divisors (see below), whose sum is σ = 24732833664. Its totient is φ = 3413880000.

The previous prime is 10420577021. The next prime is 10420577071. The reversal of 10420577052 is 25077502401.

10420577052 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1057227 + ... + 1067037.

It is an arithmetic number, because the mean of its divisors is an integer number (515267368).

Almost surely, 2^10420577052 is an apocalyptic number.

10420577052 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10420577052 is an abundant number, since it is smaller than the sum of its proper divisors (14312256612).

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

10420577052 is a wasteful number, since it uses less digits than its factorization.

10420577052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11330 (or 11328 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The spelling of 10420577052 in words is "ten billion, four hundred twenty million, five hundred seventy-seven thousand, fifty-two".