96286924800 has 672 divisors, whose sum is σ = 386145999360. Its totient is φ = 23327539200.

The previous prime is 96286924793. The next prime is 96286924813. The reversal of 96286924800 is 842968269.

It is a happy number.

96286924800 is a `hidden beast` number, since 9 + 628 + 6 + 9 + 2 + 4 + 8 + 0 + 0 = 666.

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

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, 60824809 + ... + 60826391.

Almost surely, 2^96286924800 is an apocalyptic number.

96286924800 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 96286924800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193072999680).

96286924800 is an abundant number, since it is smaller than the sum of its proper divisors (289859074560).

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

96286924800 is a wasteful number, since it uses less digits than its factorization.

96286924800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1639 (or 1604 counting only the distinct ones).

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

The spelling of 96286924800 in words is "ninety-six billion, two hundred eighty-six million, nine hundred twenty-four thousand, eight hundred".