572578406400 has 2688 divisors, whose sum is σ = 2730325248000. Its totient is φ = 104044953600.

The previous prime is 572578406347. The next prime is 572578406401. The reversal of 572578406400 is 4604875275.

It is a tau number, because it is divible by the number of its divisors (2688).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 572578406400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (572578406401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 30135705591 + ... + 30135705609.

It is an arithmetic number, because the mean of its divisors is an integer number (1015746000).

Almost surely, 2^572578406400 is an apocalyptic number.

572578406400 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 572578406400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1365162624000).

572578406400 is an abundant number, since it is smaller than the sum of its proper divisors (2157746841600).

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

572578406400 is a wasteful number, since it uses less digits than its factorization.

572578406400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 48.

The spelling of 572578406400 in words is "five hundred seventy-two billion, five hundred seventy-eight million, four hundred six thousand, four hundred".