42099051657528 has 320 divisors, whose sum is σ = 125224460222400. Its totient is φ = 13168269066240.

The previous prime is 42099051657469. The next prime is 42099051657529. The reversal of 42099051657528 is 82575615099024.

42099051657528 is a `hidden beast` number, since 4 + 2 + 0 + 9 + 9 + 0 + 51 + 6 + 57 + 528 = 666.

It is a super-2 number, since 2×42099051657528² (a number of 28 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42099051657529) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5480929848 + ... + 5480937528.

It is an arithmetic number, because the mean of its divisors is an integer number (391326438195).

Almost surely, 2^{42099051657528} 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 42099051657528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62612230111200).

42099051657528 is an abundant number, since it is smaller than the sum of its proper divisors (83125408564872).

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

42099051657528 is a wasteful number, since it uses less digits than its factorization.

42099051657528 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9132 (or 9119 counting only the distinct ones).

The product of its (nonzero) digits is 54432000, while the sum is 63.

The spelling of 42099051657528 in words is "forty-two trillion, ninety-nine billion, fifty-one million, six hundred fifty-seven thousand, five hundred twenty-eight".