10135982446560 has 144 divisors (see below), whose sum is σ = 35870115795696. Its totient is φ = 2702928642048.

The previous prime is 10135982446519. The next prime is 10135982446589. The reversal of 10135982446560 is 6564428953101.

10135982446560 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 59 + 8 + 24 + 4 + 6 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 10135982446497 and 10135982446506.

It is a congruent number.

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, 130310689 + ... + 130388448.

It is an arithmetic number, because the mean of its divisors is an integer number (249098026359).

Almost surely, 2^{10135982446560} is an apocalyptic number.

10135982446560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10135982446560 is an abundant number, since it is smaller than the sum of its proper divisors (25734133349136).

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

10135982446560 is an equidigital number, since it uses as much as digits as its factorization.

10135982446560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 260699167 (or 260699147 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 54.

The spelling of 10135982446560 in words is "ten trillion, one hundred thirty-five billion, nine hundred eighty-two million, four hundred forty-six thousand, five hundred sixty".