96301831950720 has 1536 divisors, whose sum is σ = 389099114726400. Its totient is φ = 21688819384320.

The previous prime is 96301831950707. The next prime is 96301831950721. The reversal of 96301831950720 is 2705913810369.

96301831950720 is a `hidden beast` number, since 9 + 6 + 30 + 1 + 83 + 1 + 9 + 507 + 20 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96301831950721) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 39163004851 + ... + 39163007309.

It is an arithmetic number, because the mean of its divisors is an integer number (253319736150).

Almost surely, 2^{96301831950720} is an apocalyptic number.

96301831950720 is a gapful number since it is divisible by the number (90) 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 96301831950720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194549557363200).

96301831950720 is an abundant number, since it is smaller than the sum of its proper divisors (292797282775680).

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

96301831950720 is a wasteful number, since it uses less digits than its factorization.

96301831950720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2968 (or 2953 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 96301831950720 in words is "ninety-six trillion, three hundred one billion, eight hundred thirty-one million, nine hundred fifty thousand, seven hundred twenty".