10001753388048 has 80 divisors (see below), whose sum is σ = 25924231118016. Its totient is φ = 3322775370240.

The previous prime is 10001753388041. The next prime is 10001753388061. The reversal of 10001753388048 is 84088335710001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 10001753387988 and 10001753388006.

It is not an unprimeable number, because it can be changed into a prime (10001753388041) 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 15 ways as a sum of consecutive naturals, for example, 241959190 + ... + 242000522.

Almost surely, 2^{10001753388048} is an apocalyptic number.

It is an amenable number.

10001753388048 is an abundant number, since it is smaller than the sum of its proper divisors (15922477729968).

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

10001753388048 is a wasteful number, since it uses less digits than its factorization.

10001753388048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58072 (or 58066 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 48.

The spelling of 10001753388048 in words is "ten trillion, one billion, seven hundred fifty-three million, three hundred eighty-eight thousand, forty-eight".