42553884578400 has 576 divisors, whose sum is σ = 166722832180800. Its totient is φ = 10474790676480.

The previous prime is 42553884578341. The next prime is 42553884578407. The reversal of 42553884578400 is 487548835524.

42553884578400 is a `hidden beast` number, since 4 + 2 + 5 + 53 + 8 + 8 + 4 + 578 + 4 + 0 + 0 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42553884578407) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 47006842 + ... + 47903558.

It is an arithmetic number, because the mean of its divisors is an integer number (289449361425).

Almost surely, 2^{42553884578400} is an apocalyptic number.

42553884578400 is a gapful number since it is divisible by the number (40) 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 42553884578400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (83361416090400).

42553884578400 is an abundant number, since it is smaller than the sum of its proper divisors (124168947602400).

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

42553884578400 is a wasteful number, since it uses less digits than its factorization.

42553884578400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 896785 (or 896740 counting only the distinct ones).

The product of its (nonzero) digits is 172032000, while the sum is 63.

The spelling of 42553884578400 in words is "forty-two trillion, five hundred fifty-three billion, eight hundred eighty-four million, five hundred seventy-eight thousand, four hundred".