35715132607968 has 768 divisors, whose sum is σ = 120306041856000. Its totient is φ = 10194547507200.

The previous prime is 35715132607967. The next prime is 35715132608011. The reversal of 35715132607968 is 86970623151753.

35715132607968 is a `hidden beast` number, since 3 + 5 + 7 + 1 + 5 + 13 + 2 + 607 + 9 + 6 + 8 = 666.

35715132607968 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×35715132607968² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (35715132607967) 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 127 ways as a sum of consecutive naturals, for example, 43186375171 + ... + 43186375997.

It is an arithmetic number, because the mean of its divisors is an integer number (156648492000).

Almost surely, 2^{35715132607968} is an apocalyptic number.

35715132607968 is a gapful number since it is divisible by the number (38) 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 35715132607968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60153020928000).

35715132607968 is an abundant number, since it is smaller than the sum of its proper divisors (84590909248032).

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

35715132607968 is a wasteful number, since it uses less digits than its factorization.

35715132607968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1956 (or 1942 counting only the distinct ones).

The product of its (nonzero) digits is 57153600, while the sum is 63.

The spelling of 35715132607968 in words is "thirty-five trillion, seven hundred fifteen billion, one hundred thirty-two million, six hundred seven thousand, nine hundred sixty-eight".