96877747200 has 528 divisors, whose sum is σ = 363034958720. Its totient is φ = 22587310080.

The previous prime is 96877747193. The next prime is 96877747201. The reversal of 96877747200 is 274777869.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96877747201) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 18967047 + ... + 18972153.

Almost surely, 2^96877747200 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 96877747200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181517479360).

96877747200 is an abundant number, since it is smaller than the sum of its proper divisors (266157211520).

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

96877747200 is a wasteful number, since it uses less digits than its factorization.

96877747200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5172 (or 5149 counting only the distinct ones).

The product of its (nonzero) digits is 8297856, while the sum is 57.

The spelling of 96877747200 in words is "ninety-six billion, eight hundred seventy-seven million, seven hundred forty-seven thousand, two hundred".