42516721800 has 720 divisors, whose sum is σ = 180880722000. Its totient is φ = 9203362560.

The previous prime is 42516721787. The next prime is 42516721811. The reversal of 42516721800 is 812761524.

42516721800 is a `hidden beast` number, since 42 + 516 + 7 + 21 + 80 + 0 = 666.

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 179 ways as a sum of consecutive naturals, for example, 15080791 + ... + 15083609.

It is an arithmetic number, because the mean of its divisors is an integer number (251223225).

Almost surely, 2^42516721800 is an apocalyptic number.

42516721800 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 42516721800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90440361000).

42516721800 is an abundant number, since it is smaller than the sum of its proper divisors (138364000200).

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

42516721800 is a wasteful number, since it uses less digits than its factorization.

42516721800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2880 (or 2855 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 42516721800 in words is "forty-two billion, five hundred sixteen million, seven hundred twenty-one thousand, eight hundred".