10142412255536 has 160 divisors (see below), whose sum is σ = 22836662526720. Its totient is φ = 4315244544000.

The previous prime is 10142412255487. The next prime is 10142412255637. The reversal of 10142412255536 is 63555221424101.

It is a happy number.

It is a super-2 number, since 2×10142412255536² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10142412255493 and 10142412255502.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 194919155 + ... + 194971181.

It is an arithmetic number, because the mean of its divisors is an integer number (142729140792).

Almost surely, 2^{10142412255536} is an apocalyptic number.

10142412255536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10142412255536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11418331263360).

10142412255536 is an abundant number, since it is smaller than the sum of its proper divisors (12694250271184).

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

10142412255536 is a wasteful number, since it uses less digits than its factorization.

10142412255536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52763 (or 52757 counting only the distinct ones).

The product of its (nonzero) digits is 288000, while the sum is 41.

Adding to 10142412255536 its reverse (63555221424101), we get a palindrome (73697633679637).

The spelling of 10142412255536 in words is "ten trillion, one hundred forty-two billion, four hundred twelve million, two hundred fifty-five thousand, five hundred thirty-six".