5457195012096 has 273 divisors, whose sum is σ = 16479819453019. Its totient is φ = 1739975221248.

The previous prime is 5457195012091. The next prime is 5457195012103. The reversal of 5457195012096 is 6902105917545.

The square root of 5457195012096 is 2336064.

It is a perfect power (a square), and thus also a powerful number.

5457195012096 is a `hidden beast` number, since 5 + 4 + 571 + 9 + 50 + 12 + 0 + 9 + 6 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (5457195012091) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 237269348341 + ... + 237269348363.

Almost surely, 2^{5457195012096} is an apocalyptic number.

5457195012096 is the 2336064-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5457195012096

5457195012096 is an abundant number, since it is smaller than the sum of its proper divisors (11022624440923).

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

5457195012096 is an frugal number, since it uses more digits than its factorization.

5457195012096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 3402000, while the sum is 54.

The spelling of 5457195012096 in words is "five trillion, four hundred fifty-seven billion, one hundred ninety-five million, twelve thousand, ninety-six".