42519052800 has 360 divisors, whose sum is σ = 173904958656. Its totient is φ = 9718456320.

The previous prime is 42519052799. The next prime is 42519052811. The reversal of 42519052800 is 825091524.

42519052800 is a `hidden beast` number, since 42 + 5 + 1 + 90 + 528 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

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

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 780037 + ... + 832763.

Almost surely, 2^42519052800 is an apocalyptic number.

42519052800 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 42519052800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86952479328).

42519052800 is an abundant number, since it is smaller than the sum of its proper divisors (131385905856).

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

42519052800 is a wasteful number, since it uses less digits than its factorization.

42519052800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52768 (or 52744 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

It can be divided in two parts, 425 and 19052800, that added together give a square (19053225 = 4365²).

The spelling of 42519052800 in words is "forty-two billion, five hundred nineteen million, fifty-two thousand, eight hundred".