10125374558130 has 192 divisors, whose sum is σ = 28820040369120. Its totient is φ = 2451503812608.

The previous prime is 10125374558107. The next prime is 10125374558161. The reversal of 10125374558130 is 3185547352101.

10125374558130 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 37 + 4 + 5 + 581 + 30 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1035637981569 + 9089736576561 = 1017663^2 + 3014919^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17181844 + ... + 17761376.

Almost surely, 2^{10125374558130} is an apocalyptic number.

10125374558130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10125374558130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14410020184560).

10125374558130 is an abundant number, since it is smaller than the sum of its proper divisors (18694665810990).

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

10125374558130 is a wasteful number, since it uses less digits than its factorization.

10125374558130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 579805 (or 579802 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 10125374558130 in words is "ten trillion, one hundred twenty-five billion, three hundred seventy-four million, five hundred fifty-eight thousand, one hundred thirty".