96541076736 has 216 divisors, whose sum is σ = 300768468000. Its totient is φ = 29605367808.

The previous prime is 96541076713. The next prime is 96541076743. The reversal of 96541076736 is 63767014569.

It is a happy number.

96541076736 is a `hidden beast` number, since 9 + 6 + 541 + 0 + 7 + 67 + 36 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9190015 + ... + 9200513.

Almost surely, 2^96541076736 is an apocalyptic number.

96541076736 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 96541076736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150384234000).

96541076736 is an abundant number, since it is smaller than the sum of its proper divisors (204227391264).

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

96541076736 is a wasteful number, since it uses less digits than its factorization.

96541076736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10841 (or 10824 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 54.

The spelling of 96541076736 in words is "ninety-six billion, five hundred forty-one million, seventy-six thousand, seven hundred thirty-six".