5975675596800 has 4212 divisors, whose sum is σ = 28923257464920. Its totient is φ = 1217325957120.

The previous prime is 5975675596777. The next prime is 5975675596801. The reversal of 5975675596800 is 86955765795.

It is a happy number.

5975675596800 is a `hidden beast` number, since 5 + 9 + 7 + 5 + 6 + 7 + 559 + 68 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4212).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5975675596801) by changing a digit.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 206057779186 + ... + 206057779214.

Almost surely, 2^{5975675596800} is an apocalyptic number.

5975675596800 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 5975675596800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14461628732460).

5975675596800 is an abundant number, since it is smaller than the sum of its proper divisors (22947581868120).

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

5975675596800 is a wasteful number, since it uses less digits than its factorization.

5975675596800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 714420000, while the sum is 72.

The spelling of 5975675596800 in words is "five trillion, nine hundred seventy-five billion, six hundred seventy-five million, five hundred ninety-six thousand, eight hundred".