10653601626234 has 96 divisors (see below), whose sum is σ = 27933971869440. Its totient is φ = 2864645346816.

The previous prime is 10653601626209. The next prime is 10653601626271. The reversal of 10653601626234 is 43262610635601.

10653601626234 is a `hidden beast` number, since 1 + 0 + 6 + 5 + 3 + 6 + 0 + 16 + 2 + 623 + 4 = 666.

It is a super-2 number, since 2×10653601626234² (a number of 27 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 10653601626234.

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 47 ways as a sum of consecutive naturals, for example, 34028352 + ... + 34340004.

It is an arithmetic number, because the mean of its divisors is an integer number (290978873640).

Almost surely, 2^{10653601626234} is an apocalyptic number.

10653601626234 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10653601626234 is an abundant number, since it is smaller than the sum of its proper divisors (17280370243206).

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

10653601626234 is a wasteful number, since it uses less digits than its factorization.

10653601626234 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 327644 (or 327641 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 45.

The spelling of 10653601626234 in words is "ten trillion, six hundred fifty-three billion, six hundred one million, six hundred twenty-six thousand, two hundred thirty-four".