96547290400 has 288 divisors, whose sum is σ = 262895673600. Its totient is φ = 34328985600.

The previous prime is 96547290383. The next prime is 96547290407. The reversal of 96547290400 is 409274569.

It is a super-3 number, since 3×96547290400³ (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (96547290407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 78556986 + ... + 78558214.

It is an arithmetic number, because the mean of its divisors is an integer number (912832200).

Almost surely, 2^96547290400 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 96547290400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131447836800).

96547290400 is an abundant number, since it is smaller than the sum of its proper divisors (166348383200).

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

96547290400 is a wasteful number, since it uses less digits than its factorization.

96547290400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1439 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 46.

The spelling of 96547290400 in words is "ninety-six billion, five hundred forty-seven million, two hundred ninety thousand, four hundred".