42542554521600 has 1260 divisors, whose sum is σ = 177793428184086. Its totient is φ = 9723000913920.

The previous prime is 42542554521589. The next prime is 42542554521631. The reversal of 42542554521600 is 612545524524.

42542554521600 is a `hidden beast` number, since 4 + 2 + 5 + 4 + 25 + 545 + 21 + 60 + 0 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 41289157840896 + 1253396680704 = 6425664^2 + 1119552^2 .

It is a tau number, because it is divible by the number of its divisors (1260).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 4425518394 + ... + 4425528006.

Almost surely, 2^{42542554521600} is an apocalyptic number.

42542554521600 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 42542554521600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88896714092043).

42542554521600 is an abundant number, since it is smaller than the sum of its proper divisors (135250873662486).

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

42542554521600 is an frugal number, since it uses more digits than its factorization.

42542554521600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9683 (or 9630 counting only the distinct ones).

The product of its (nonzero) digits is 1920000, while the sum is 45.

The spelling of 42542554521600 in words is "forty-two trillion, five hundred forty-two billion, five hundred fifty-four million, five hundred twenty-one thousand, six hundred".