96951254400 has 3072 divisors, whose sum is σ = 509967360000. Its totient is φ = 17318707200.

The previous prime is 96951254383. The next prime is 96951254417. The reversal of 96951254400 is 445215969.

96951254400 is a `hidden beast` number, since 9 + 6 + 95 + 12 + 544 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (96951254383) and next prime (96951254417).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 383 ways as a sum of consecutive naturals, for example, 1643241571 + ... + 1643241629.

It is an arithmetic number, because the mean of its divisors is an integer number (166005000).

Almost surely, 2^96951254400 is an apocalyptic number.

96951254400 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 96951254400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254983680000).

96951254400 is an abundant number, since it is smaller than the sum of its proper divisors (413016105600).

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

96951254400 is a wasteful number, since it uses less digits than its factorization.

96951254400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 96951254400 in words is "ninety-six billion, nine hundred fifty-one million, two hundred fifty-four thousand, four hundred".