5357313561600 has 5280 divisors, whose sum is σ = 27863004153600. Its totient is φ = 980995276800.

The previous prime is 5357313561539. The next prime is 5357313561617. The reversal of 5357313561600 is 61653137535.

5357313561600 is a `hidden beast` number, since 5 + 3 + 5 + 7 + 3 + 1 + 35 + 6 + 1 + 600 = 666.

It is a tau number, because it is divible by the number of its divisors (5280).

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 polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 60194534356 + ... + 60194534444.

It is an arithmetic number, because the mean of its divisors is an integer number (5277084120).

Almost surely, 2^{5357313561600} is an apocalyptic number.

5357313561600 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 5357313561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13931502076800).

5357313561600 is an abundant number, since it is smaller than the sum of its proper divisors (22505690592000).

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

5357313561600 is a wasteful number, since it uses less digits than its factorization.

5357313561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 850500, while the sum is 45.

The spelling of 5357313561600 in words is "five trillion, three hundred fifty-seven billion, three hundred thirteen million, five hundred sixty-one thousand, six hundred".