10001753388060 has 192 divisors, whose sum is σ = 32183315103744. Its totient is φ = 2273450400000.

The previous prime is 10001753388041. The next prime is 10001753388061. The reversal of 10001753388060 is 6088335710001.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10001753388061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67711285 + ... + 67858835.

It is an arithmetic number, because the mean of its divisors is an integer number (167621432832).

Almost surely, 2^{10001753388060} is an apocalyptic number.

10001753388060 is a gapful number since it is divisible by the number (10) 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 10001753388060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16091657551872).

10001753388060 is an abundant number, since it is smaller than the sum of its proper divisors (22181561715684).

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

10001753388060 is a wasteful number, since it uses less digits than its factorization.

10001753388060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148464 (or 148462 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 42.

The spelling of 10001753388060 in words is "ten trillion, one billion, seven hundred fifty-three million, three hundred eighty-eight thousand, sixty".