96509384976420 has 288 divisors, whose sum is σ = 319613170810752. Its totient is φ = 23428493789184.

The previous prime is 96509384976419. The next prime is 96509384976421. The reversal of 96509384976420 is 2467948390569.

96509384976420 is a `hidden beast` number, since 9 + 6 + 5 + 0 + 93 + 8 + 49 + 76 + 420 = 666.

It is an interprime number because it is at equal distance from previous prime (96509384976419) and next prime (96509384976421).

It is a super-2 number, since 2×96509384976420² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (96509384976421) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2432969427 + ... + 2433009093.

It is an arithmetic number, because the mean of its divisors is an integer number (1109767954204).

Almost surely, 2^{96509384976420} is an apocalyptic number.

96509384976420 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 96509384976420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159806585405376).

96509384976420 is an abundant number, since it is smaller than the sum of its proper divisors (223103785834332).

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

96509384976420 is a wasteful number, since it uses less digits than its factorization.

96509384976420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54011 (or 54006 counting only the distinct ones).

The product of its (nonzero) digits is 705438720, while the sum is 72.

The spelling of 96509384976420 in words is "ninety-six trillion, five hundred nine billion, three hundred eighty-four million, nine hundred seventy-six thousand, four hundred twenty".