10125600865380 has 1944 divisors, whose sum is σ = 43921625110272. Its totient is φ = 1878484608000.

The previous prime is 10125600865333. The next prime is 10125600865439. The reversal of 10125600865380 is 8356800652101.

10125600865380 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 5 + 600 + 8 + 6 + 5 + 38 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 5591164675 + ... + 5591166485.

Almost surely, 2^{10125600865380} is an apocalyptic number.

10125600865380 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 10125600865380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21960812555136).

10125600865380 is an abundant number, since it is smaller than the sum of its proper divisors (33796024244892).

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

10125600865380 is a wasteful number, since it uses less digits than its factorization.

10125600865380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1919 (or 1883 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 10125600865380 in words is "ten trillion, one hundred twenty-five billion, six hundred million, eight hundred sixty-five thousand, three hundred eighty".