96426212400 has 480 divisors, whose sum is σ = 398110471680. Its totient is φ = 21710177280.

The previous prime is 96426212353. The next prime is 96426212489. The reversal of 96426212400 is 421262469.

96426212400 is a `hidden beast` number, since 9 + 6 + 4 + 2 + 621 + 24 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5055682 + ... + 5074718.

It is an arithmetic number, because the mean of its divisors is an integer number (829396816).

Almost surely, 2^96426212400 is an apocalyptic number.

96426212400 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 96426212400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199055235840).

96426212400 is an abundant number, since it is smaller than the sum of its proper divisors (301684259280).

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

96426212400 is a wasteful number, since it uses less digits than its factorization.

96426212400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19138 (or 19121 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Adding to 96426212400 its reverse (421262469), we get a palindrome (96847474869).

The spelling of 96426212400 in words is "ninety-six billion, four hundred twenty-six million, two hundred twelve thousand, four hundred".