10379125056960 has 672 divisors, whose sum is σ = 41104130745600. Its totient is φ = 2377380741120.

The previous prime is 10379125056931. The next prime is 10379125056967. The reversal of 10379125056960 is 6965052197301.

10379125056960 is a `hidden beast` number, since 1 + 0 + 3 + 7 + 9 + 12 + 5 + 0 + 569 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10379125056897 and 10379125056906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10379125056967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 228104932 + ... + 228150428.

Almost surely, 2^{10379125056960} is an apocalyptic number.

10379125056960 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 10379125056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20552065372800).

10379125056960 is an abundant number, since it is smaller than the sum of its proper divisors (30725005688640).

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

10379125056960 is a wasteful number, since it uses less digits than its factorization.

10379125056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45929 (or 45916 counting only the distinct ones).

The product of its (nonzero) digits is 3061800, while the sum is 54.

The spelling of 10379125056960 in words is "ten trillion, three hundred seventy-nine billion, one hundred twenty-five million, fifty-six thousand, nine hundred sixty".