96508129536 has 864 divisors, whose sum is σ = 373459403520. Its totient is φ = 24320507904.

The previous prime is 96508129517. The next prime is 96508129561. The reversal of 96508129536 is 63592180569.

It is a happy number.

96508129536 is a `hidden beast` number, since 9 + 6 + 5 + 0 + 81 + 29 + 536 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 101267236 + ... + 101268188.

It is an arithmetic number, because the mean of its divisors is an integer number (432244680).

Almost surely, 2^96508129536 is an apocalyptic number.

96508129536 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 96508129536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186729701760).

96508129536 is an abundant number, since it is smaller than the sum of its proper divisors (276951273984).

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

96508129536 is a wasteful number, since it uses less digits than its factorization.

96508129536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1001 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 96508129536 in words is "ninety-six billion, five hundred eight million, one hundred twenty-nine thousand, five hundred thirty-six".