10538728062600 has 192 divisors, whose sum is σ = 32967117469440. Its totient is φ = 2784785920000.

The previous prime is 10538728062581. The next prime is 10538728062613. The reversal of 10538728062600 is 626082783501.

10538728062600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10538728062600² (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 10538728062600.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 322101442 + ... + 322134158.

It is an arithmetic number, because the mean of its divisors is an integer number (171703736820).

Almost surely, 2^{10538728062600} is an apocalyptic number.

10538728062600 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 10538728062600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16483558734720).

10538728062600 is an abundant number, since it is smaller than the sum of its proper divisors (22428389406840).

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

10538728062600 is a wasteful number, since it uses less digits than its factorization.

10538728062600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37600 (or 37591 counting only the distinct ones).

The product of its (nonzero) digits is 967680, while the sum is 48.

The spelling of 10538728062600 in words is "ten trillion, five hundred thirty-eight billion, seven hundred twenty-eight million, sixty-two thousand, six hundred".