10538128421088 has 48 divisors (see below), whose sum is σ = 29118512747520. Its totient is φ = 3327830027136.

The previous prime is 10538128421083. The next prime is 10538128421129. The reversal of 10538128421088 is 88012482183501.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×10538128421088² (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10538128421088.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10538128421083) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2888739520 + ... + 2888743167.

It is an arithmetic number, because the mean of its divisors is an integer number (606635682240).

Almost surely, 2^{10538128421088} is an apocalyptic number.

It is an amenable number.

10538128421088 is an abundant number, since it is smaller than the sum of its proper divisors (18580384326432).

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

10538128421088 is a wasteful number, since it uses less digits than its factorization.

10538128421088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5777482719 (or 5777482711 counting only the distinct ones).

The product of its (nonzero) digits is 983040, while the sum is 51.

The spelling of 10538128421088 in words is "ten trillion, five hundred thirty-eight billion, one hundred twenty-eight million, four hundred twenty-one thousand, eighty-eight".