96547749120 has 1296 divisors, whose sum is σ = 398956259520. Its totient is φ = 22215720960.

The previous prime is 96547749091. The next prime is 96547749167. The reversal of 96547749120 is 2194774569.

96547749120 is a `hidden beast` number, since 9 + 6 + 5 + 477 + 49 + 120 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3114443505 + ... + 3114443535.

It is an arithmetic number, because the mean of its divisors is an integer number (307836620).

Almost surely, 2^96547749120 is an apocalyptic number.

96547749120 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 96547749120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199478129760).

96547749120 is an abundant number, since it is smaller than the sum of its proper divisors (302408510400).

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

96547749120 is a wasteful number, since it uses less digits than its factorization.

96547749120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 77 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 54.

The spelling of 96547749120 in words is "ninety-six billion, five hundred forty-seven million, seven hundred forty-nine thousand, one hundred twenty".