96093742694400 has 3456 divisors, whose sum is σ = 414533898132480. Its totient is φ = 21862180454400.

The previous prime is 96093742694399. The next prime is 96093742694479. The reversal of 96093742694400 is 449624739069.

96093742694400 is a `hidden beast` number, since 9 + 6 + 0 + 93 + 7 + 42 + 69 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1813089484774 + ... + 1813089484826.

It is an arithmetic number, because the mean of its divisors is an integer number (119946151080).

Almost surely, 2^{96093742694400} is an apocalyptic number.

96093742694400 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 96093742694400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207266949066240).

96093742694400 is an abundant number, since it is smaller than the sum of its proper divisors (318440155438080).

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

96093742694400 is an frugal number, since it uses more digits than its factorization.

96093742694400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 152 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 70543872, while the sum is 63.

The spelling of 96093742694400 in words is "ninety-six trillion, ninety-three billion, seven hundred forty-two million, six hundred ninety-four thousand, four hundred".