576253440000 has 1300 divisors, whose sum is σ = 2464599688144. Its totient is φ = 131383296000.

The previous prime is 576253439981. The next prime is 576253440001. The reversal of 576253440000 is 44352675.

It is a super-2 number, since 2×576253440000² (a number of 24 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (576253440001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 99 ways as a sum of consecutive naturals, for example, 1451519802 + ... + 1451520198.

Almost surely, 2^576253440000 is an apocalyptic number.

576253440000 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 576253440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232299844072).

576253440000 is an abundant number, since it is smaller than the sum of its proper divisors (1888346248144).

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

576253440000 is an frugal number, since it uses more digits than its factorization.

576253440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 460 (or 414 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 36.

Adding to 576253440000 its reverse (44352675), we get a palindrome (576297792675).

The spelling of 576253440000 in words is "five hundred seventy-six billion, two hundred fifty-three million, four hundred forty thousand".