10112715840 has 224 divisors, whose sum is σ = 33263677440. Its totient is φ = 2600294400.

The previous prime is 10112715797. The next prime is 10112715853. The reversal of 10112715840 is 4851721101.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 10112715798 and 10112715807.

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, 12469035 + ... + 12469845.

It is an arithmetic number, because the mean of its divisors is an integer number (148498560).

Almost surely, 2^10112715840 is an apocalyptic number.

10112715840 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 10112715840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16631838720).

10112715840 is an abundant number, since it is smaller than the sum of its proper divisors (23150961600).

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

10112715840 is a wasteful number, since it uses less digits than its factorization.

10112715840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1281 (or 1271 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 30.

The spelling of 10112715840 in words is "ten billion, one hundred twelve million, seven hundred fifteen thousand, eight hundred forty".