10486103125792 has 144 divisors (see below), whose sum is σ = 24498222577920. Its totient is φ = 4404525576192.

The previous prime is 10486103125781. The next prime is 10486103125801. The reversal of 10486103125792 is 29752130168401.

It is a happy number.

10486103125792 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15331209 + ... + 16000567.

It is an arithmetic number, because the mean of its divisors is an integer number (170126545680).

It is a 1-persistent number, because it is pandigital, but 2⋅10486103125792 = 20972206251584 is not.

Almost surely, 2^{10486103125792} 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 10486103125792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12249111288960).

10486103125792 is an abundant number, since it is smaller than the sum of its proper divisors (14012119452128).

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

10486103125792 is a wasteful number, since it uses less digits than its factorization.

10486103125792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 669583 (or 669568 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

The spelling of 10486103125792 in words is "ten trillion, four hundred eighty-six billion, one hundred three million, one hundred twenty-five thousand, seven hundred ninety-two".