42513880500 has 1152 divisors, whose sum is σ = 181330845696. Its totient is φ = 8128512000.

The previous prime is 42513880499. The next prime is 42513880529. The reversal of 42513880500 is 508831524.

It is a happy number.

42513880500 is a `hidden beast` number, since 42 + 5 + 1 + 38 + 80 + 500 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 215806402 + ... + 215806598.

It is an arithmetic number, because the mean of its divisors is an integer number (157405248).

Almost surely, 2^42513880500 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42513880500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90665422848).

42513880500 is an abundant number, since it is smaller than the sum of its proper divisors (138816965196).

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

42513880500 is a wasteful number, since it uses less digits than its factorization.

42513880500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290 (or 275 counting only the distinct ones).

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

The spelling of 42513880500 in words is "forty-two billion, five hundred thirteen million, eight hundred eighty thousand, five hundred".