42511564800 has 612 divisors, whose sum is σ = 161390343720. Its totient is φ = 10970726400.

The previous prime is 42511564757. The next prime is 42511564829. The reversal of 42511564800 is 846511524.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

42511564800 is a `hidden beast` number, since 4 + 2 + 5 + 1 + 1 + 5 + 648 + 0 + 0 = 666.

It is a super-3 number, since 3×42511564800³ (a number of 33 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1371340785 + ... + 1371340815.

Almost surely, 2^42511564800 is an apocalyptic number.

42511564800 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 42511564800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80695171860).

42511564800 is an abundant number, since it is smaller than the sum of its proper divisors (118878778920).

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

42511564800 is an frugal number, since it uses more digits than its factorization.

42511564800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 113 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 42511564800 in words is "forty-two billion, five hundred eleven million, five hundred sixty-four thousand, eight hundred".