10112043751680 has 1152 divisors, whose sum is σ = 38864996674560. Its totient is φ = 2215284572160.

The previous prime is 10112043751631. The next prime is 10112043751753. The reversal of 10112043751680 is 8615734021101.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1737163170 + ... + 1737168990.

It is an arithmetic number, because the mean of its divisors is an integer number (33736976280).

Almost surely, 2^{10112043751680} is an apocalyptic number.

10112043751680 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 10112043751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19432498337280).

10112043751680 is an abundant number, since it is smaller than the sum of its proper divisors (28752952922880).

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

10112043751680 is a wasteful number, since it uses less digits than its factorization.

10112043751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5987 (or 5973 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 39.

Adding to 10112043751680 its reverse (8615734021101), we get a palindrome (18727777772781).

The spelling of 10112043751680 in words is "ten trillion, one hundred twelve billion, forty-three million, seven hundred fifty-one thousand, six hundred eighty".