10315065715680 has 192 divisors, whose sum is σ = 35518517750016. Its totient is φ = 2495528448000.

The previous prime is 10315065715657. The next prime is 10315065715681. The reversal of 10315065715680 is 8651756051301.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10315065715681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 603060 + ... + 4581900.

It is an arithmetic number, because the mean of its divisors is an integer number (184992279948).

Almost surely, 2^{10315065715680} is an apocalyptic number.

10315065715680 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 10315065715680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17759258875008).

10315065715680 is an abundant number, since it is smaller than the sum of its proper divisors (25203452034336).

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

10315065715680 is a wasteful number, since it uses less digits than its factorization.

10315065715680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3979361 (or 3979353 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 48.

The spelling of 10315065715680 in words is "ten trillion, three hundred fifteen billion, sixty-five million, seven hundred fifteen thousand, six hundred eighty".