10715890752 has 336 divisors, whose sum is σ = 36358982400. Its totient is φ = 3015677952.

The previous prime is 10715890751. The next prime is 10715890771. The reversal of 10715890752 is 25709851701.

10715890752 is a `hidden beast` number, since 10 + 7 + 1 + 589 + 0 + 7 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×10715890752² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10715890698 and 10715890707.

It is not an unprimeable number, because it can be changed into a prime (10715890751) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14422093 + ... + 14422835.

Almost surely, 2^10715890752 is an apocalyptic number.

10715890752 is a gapful number since it is divisible by the number (12) 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 10715890752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18179491200).

10715890752 is an abundant number, since it is smaller than the sum of its proper divisors (25643091648).

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

10715890752 is an equidigital number, since it uses as much as digits as its factorization.

10715890752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 855 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 45.

The spelling of 10715890752 in words is "ten billion, seven hundred fifteen million, eight hundred ninety thousand, seven hundred fifty-two".