575725435084800 has 9072 divisors, whose sum is σ = 2961922356836352. Its totient is φ = 109559336140800.

The previous prime is 575725435084799. The next prime is 575725435084801. The reversal of 575725435084800 is 8480534527575.

575725435084800 is a `hidden beast` number, since 5 + 7 + 5 + 7 + 2 + 5 + 43 + 508 + 4 + 80 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (575725435084799) and next prime (575725435084801).

It is a tau number, because it is divible by the number of its divisors (9072).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (575725435084801) by changing a digit.

It is a polite number, since it can be written in 647 ways as a sum of consecutive naturals, for example, 4533271142337 + ... + 4533271142463.

It is an arithmetic number, because the mean of its divisors is an integer number (326490559616).

Almost surely, 2^{575725435084800} is an apocalyptic number.

575725435084800 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 575725435084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1480961178418176).

575725435084800 is an abundant number, since it is smaller than the sum of its proper divisors (2386196921751552).

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

575725435084800 is a wasteful number, since it uses less digits than its factorization.

575725435084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 229 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 188160000, while the sum is 63.

The spelling of 575725435084800 in words is "five hundred seventy-five trillion, seven hundred twenty-five billion, four hundred thirty-five million, eighty-four thousand, eight hundred".