96131481600 has 864 divisors, whose sum is σ = 399430434816. Its totient is φ = 19818086400.

The previous prime is 96131481583. The next prime is 96131481617. The reversal of 96131481600 is 618413169.

It is an interprime number because it is at equal distance from previous prime (96131481583) and next prime (96131481617).

It is a super-2 number, since 2×96131481600² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 756940737 + ... + 756940863.

It is an arithmetic number, because the mean of its divisors is an integer number (462303744).

Almost surely, 2^96131481600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 96131481600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199715217408).

96131481600 is an abundant number, since it is smaller than the sum of its proper divisors (303298953216).

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

96131481600 is a wasteful number, since it uses less digits than its factorization.

96131481600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 39.

Adding to 96131481600 its reverse (618413169), we get a palindrome (96749894769).

The spelling of 96131481600 in words is "ninety-six billion, one hundred thirty-one million, four hundred eighty-one thousand, six hundred".