42657552159300 has 216 divisors, whose sum is σ = 144308038279496. Its totient is φ = 10477342586880.

The previous prime is 42657552159193. The next prime is 42657552159301. The reversal of 42657552159300 is 395125575624.

42657552159300 is a `hidden beast` number, since 4 + 2 + 6 + 5 + 7 + 552 + 1 + 59 + 30 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 3933217098756 + 38724335060544 = 1983234^2 + 6222888^2 .

It is not an unprimeable number, because it can be changed into a prime (42657552159301) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1357902 + ... + 9335898.

Almost surely, 2^{42657552159300} 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 42657552159300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72154019139748).

42657552159300 is an abundant number, since it is smaller than the sum of its proper divisors (101650486120196).

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

42657552159300 is a wasteful number, since it uses less digits than its factorization.

42657552159300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7978487 (or 7978477 counting only the distinct ones).

The product of its (nonzero) digits is 11340000, while the sum is 54.

The spelling of 42657552159300 in words is "forty-two trillion, six hundred fifty-seven billion, five hundred fifty-two million, one hundred fifty-nine thousand, three hundred".