10145253061260 has 96 divisors (see below), whose sum is σ = 31627293465600. Its totient is φ = 2699890764480.

The previous prime is 10145253061259. The next prime is 10145253061313. The reversal of 10145253061260 is 6216035254101.

10145253061260 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 5 + 2 + 5 + 30 + 612 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18866740 + ... + 19397019.

It is an arithmetic number, because the mean of its divisors is an integer number (329450973600).

Almost surely, 2^{10145253061260} is an apocalyptic number.

10145253061260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10145253061260 is an abundant number, since it is smaller than the sum of its proper divisors (21482040404340).

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

10145253061260 is a wasteful number, since it uses less digits than its factorization.

10145253061260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38264268 (or 38264260 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

The spelling of 10145253061260 in words is "ten trillion, one hundred forty-five billion, two hundred fifty-three million, sixty-one thousand, two hundred sixty".