10162654005042 has 192 divisors, whose sum is σ = 27846395965440. Its totient is φ = 2601782467200.

The previous prime is 10162654004977. The next prime is 10162654005047. The reversal of 10162654005042 is 24050045626101.

10162654005042 is a `hidden beast` number, since 1 + 0 + 1 + 6 + 26 + 540 + 0 + 50 + 42 = 666.

10162654005042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10162654005042² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10162654004988 and 10162654005006.

It is not an unprimeable number, because it can be changed into a prime (10162654005047) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 444685288 + ... + 444708140.

It is an arithmetic number, because the mean of its divisors is an integer number (145033312320).

Almost surely, 2^{10162654005042} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10162654005042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13923197982720).

10162654005042 is an abundant number, since it is smaller than the sum of its proper divisors (17683741960398).

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

10162654005042 is a wasteful number, since it uses less digits than its factorization.

10162654005042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27469 (or 27466 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

The spelling of 10162654005042 in words is "ten trillion, one hundred sixty-two billion, six hundred fifty-four million, five thousand, forty-two".