96892286400 has 1344 divisors, whose sum is σ = 444471552000. Its totient is φ = 20402565120.

The previous prime is 96892286389. The next prime is 96892286401. The reversal of 96892286400 is 468229869.

It is a happy number.

96892286400 is a `hidden beast` number, since 9 + 6 + 8 + 9 + 228 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (96892286401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 192628549 + ... + 192629051.

It is an arithmetic number, because the mean of its divisors is an integer number (330708000).

Almost surely, 2^96892286400 is an apocalyptic number.

96892286400 is a gapful number since it is divisible by the number (90) 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 96892286400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222235776000).

96892286400 is an abundant number, since it is smaller than the sum of its proper divisors (347579265600).

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

96892286400 is a wasteful number, since it uses less digits than its factorization.

96892286400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 568 (or 533 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 96892286400 in words is "ninety-six billion, eight hundred ninety-two million, two hundred eighty-six thousand, four hundred".