10142205375888 has 100 divisors (see below), whose sum is σ = 29852018716080. Its totient is φ = 3323434504896.

The previous prime is 10142205375767. The next prime is 10142205375889. The reversal of 10142205375888 is 88857350224101.

It is a happy number.

10142205375888 is a `hidden beast` number, since 1 + 0 + 1 + 4 + 2 + 2 + 0 + 53 + 7 + 588 + 8 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (10142205375889) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 66243670 + ... + 66396597.

Almost surely, 2^{10142205375888} is an apocalyptic number.

10142205375888 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10142205375888 is an abundant number, since it is smaller than the sum of its proper divisors (19709813340192).

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

10142205375888 is a wasteful number, since it uses less digits than its factorization.

10142205375888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132640346 (or 132640331 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

Adding to 10142205375888 its reverse (88857350224101), we get a palindrome (98999555599989).

The spelling of 10142205375888 in words is "ten trillion, one hundred forty-two billion, two hundred five million, three hundred seventy-five thousand, eight hundred eighty-eight".