10135456695 has 240 divisors, whose sum is σ = 24110146368. Its totient is φ = 4023613440.

The previous prime is 10135456673. The next prime is 10135456697. The reversal of 10135456695 is 59665453101.

10135456695 is a `hidden beast` number, since 1 + 0 + 13 + 545 + 6 + 6 + 95 = 666.

10135456695 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10135456695 - 2⁵ = 10135456663 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10135456695.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10135456697) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4384590 + ... + 4386900.

Almost surely, 2^10135456695 is an apocalyptic number.

10135456695 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10135456695 is an abundant number, since it is smaller than the sum of its proper divisors (13974689673).

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

10135456695 is a wasteful number, since it uses less digits than its factorization.

10135456695 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2372 (or 2356 counting only the distinct ones).

The product of its (nonzero) digits is 486000, while the sum is 45.

The spelling of 10135456695 in words is "ten billion, one hundred thirty-five million, four hundred fifty-six thousand, six hundred ninety-five".