10081755642 has 64 divisors (see below), whose sum is σ = 24358809600. Its totient is φ = 2717426880.

The previous prime is 10081755641. The next prime is 10081755643. The reversal of 10081755642 is 24655718001.

It is an interprime number because it is at equal distance from previous prime (10081755641) and next prime (10081755643).

It is a self number, because there is not a number n which added to its sum of digits gives 10081755642.

It is not an unprimeable number, because it can be changed into a prime (10081755641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 164292 + ... + 217152.

It is an arithmetic number, because the mean of its divisors is an integer number (380606400).

Almost surely, 2^10081755642 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10081755642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12179404800).

10081755642 is an abundant number, since it is smaller than the sum of its proper divisors (14277053958).

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

10081755642 is a wasteful number, since it uses less digits than its factorization.

10081755642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53131.

The product of its (nonzero) digits is 67200, while the sum is 39.

The spelling of 10081755642 in words is "ten billion, eighty-one million, seven hundred fifty-five thousand, six hundred forty-two".