93965950157376 has 448 divisors, whose sum is σ = 285338400030720. Its totient is φ = 27029984256000.

The previous prime is 93965950157353. The next prime is 93965950157419. The reversal of 93965950157376 is 67375105956939.

93965950157376 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 93965950157298 and 93965950157307.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1465689610 + ... + 1465753718.

Almost surely, 2^{93965950157376} is an apocalyptic number.

93965950157376 is a gapful number since it is divisible by the number (96) 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 93965950157376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142669200015360).

93965950157376 is an abundant number, since it is smaller than the sum of its proper divisors (191372449873344).

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

93965950157376 is a wasteful number, since it uses less digits than its factorization.

93965950157376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64594 (or 64584 counting only the distinct ones).

The product of its (nonzero) digits is 1446700500, while the sum is 75.

The spelling of 93965950157376 in words is "ninety-three trillion, nine hundred sixty-five billion, nine hundred fifty million, one hundred fifty-seven thousand, three hundred seventy-six".