576900054976 has 224 divisors, whose sum is σ = 1377411194880. Its totient is φ = 234522624000.

The previous prime is 576900054943. The next prime is 576900054979. The reversal of 576900054976 is 679450009675.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a self number, because there is not a number n which added to its sum of digits gives 576900054976.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (576900054979) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 205960776 + ... + 205963576.

It is an arithmetic number, because the mean of its divisors is an integer number (6149157120).

Almost surely, 2^576900054976 is an apocalyptic number.

576900054976 is a gapful number since it is divisible by the number (56) 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 576900054976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (688705597440).

576900054976 is an abundant number, since it is smaller than the sum of its proper divisors (800511139904).

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

576900054976 is a wasteful number, since it uses less digits than its factorization.

576900054976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3123 (or 3113 counting only the distinct ones).

The product of its (nonzero) digits is 14288400, while the sum is 58.

The spelling of 576900054976 in words is "five hundred seventy-six billion, nine hundred million, fifty-four thousand, nine hundred seventy-six".