5395161657600 has 1296 divisors, whose sum is σ = 22754140141824. Its totient is φ = 1202356224000.

The previous prime is 5395161657583. The next prime is 5395161657601. The reversal of 5395161657600 is 67561615935.

5395161657600 is a `hidden beast` number, since 5 + 3 + 9 + 5 + 1 + 61 + 6 + 576 + 0 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (5395161657601) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2232171592 + ... + 2232174008.

Almost surely, 2^{5395161657600} is an apocalyptic number.

5395161657600 is a gapful number since it is divisible by the number (50) 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 5395161657600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11377070070912).

5395161657600 is an abundant number, since it is smaller than the sum of its proper divisors (17358978484224).

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

5395161657600 is a wasteful number, since it uses less digits than its factorization.

5395161657600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2744 (or 2722 counting only the distinct ones).

The product of its (nonzero) digits is 5103000, while the sum is 54.

The spelling of 5395161657600 in words is "five trillion, three hundred ninety-five billion, one hundred sixty-one million, six hundred fifty-seven thousand, six hundred".