96505734420 has 336 divisors, whose sum is σ = 325146689280. Its totient is φ = 23976518400.

The previous prime is 96505734397. The next prime is 96505734461. The reversal of 96505734420 is 2443750569.

96505734420 is a `hidden beast` number, since 9 + 6 + 50 + 573 + 4 + 4 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 16895365 + ... + 16901075.

It is an arithmetic number, because the mean of its divisors is an integer number (967698480).

Almost surely, 2^96505734420 is an apocalyptic number.

96505734420 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 96505734420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162573344640).

96505734420 is an abundant number, since it is smaller than the sum of its proper divisors (228640954860).

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

96505734420 is a wasteful number, since it uses less digits than its factorization.

96505734420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5818 (or 5801 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 45.

The spelling of 96505734420 in words is "ninety-six billion, five hundred five million, seven hundred thirty-four thousand, four hundred twenty".