10057420660 has 192 divisors, whose sum is σ = 26435275776. Its totient is φ = 3135283200.

The previous prime is 10057420649. The next prime is 10057420679. The reversal of 10057420660 is 6602475001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15938545 + ... + 15939175.

It is an arithmetic number, because the mean of its divisors is an integer number (137683728).

Almost surely, 2^10057420660 is an apocalyptic number.

10057420660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10057420660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13217637888).

10057420660 is an abundant number, since it is smaller than the sum of its proper divisors (16377855116).

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

10057420660 is a wasteful number, since it uses less digits than its factorization.

10057420660 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 882 (or 880 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 31.

Adding to 10057420660 its reverse (6602475001), we get a palindrome (16659895661).

The spelling of 10057420660 in words is "ten billion, fifty-seven million, four hundred twenty thousand, six hundred sixty".