96753382400 has 264 divisors, whose sum is σ = 253799571264. Its totient is φ = 36495360000.

The previous prime is 96753382387. The next prime is 96753382409. The reversal of 96753382400 is 428335769.

It is a happy number.

It is a super-2 number, since 2×96753382400² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96753382409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 42981275 + ... + 42983525.

Almost surely, 2^96753382400 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 96753382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126899785632).

96753382400 is an abundant number, since it is smaller than the sum of its proper divisors (157046188864).

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

96753382400 is a wasteful number, since it uses less digits than its factorization.

96753382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2377 (or 2354 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 47.

The spelling of 96753382400 in words is "ninety-six billion, seven hundred fifty-three million, three hundred eighty-two thousand, four hundred".