10342576128 has 208 divisors, whose sum is σ = 29985612800. Its totient is φ = 3158507520.

The previous prime is 10342576099. The next prime is 10342576163. The reversal of 10342576128 is 82167524301.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7236918 + ... + 7238346.

It is an arithmetic number, because the mean of its divisors is an integer number (144161600).

Almost surely, 2^10342576128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10342576128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14992806400).

10342576128 is an abundant number, since it is smaller than the sum of its proper divisors (19643036672).

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

10342576128 is a wasteful number, since it uses less digits than its factorization.

10342576128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1506 (or 1484 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 10342576128 in words is "ten billion, three hundred forty-two million, five hundred seventy-six thousand, one hundred twenty-eight".