42997875523200 has 576 divisors, whose sum is σ = 165727951378080. Its totient is φ = 10552085913600.

The previous prime is 42997875523147. The next prime is 42997875523261. The reversal of 42997875523200 is 232557879924.

42997875523200 is a `hidden beast` number, since 4 + 2 + 9 + 9 + 7 + 87 + 5 + 523 + 20 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 123752919 + ... + 124099881.

Almost surely, 2^{42997875523200} is an apocalyptic number.

42997875523200 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 42997875523200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82863975689040).

42997875523200 is an abundant number, since it is smaller than the sum of its proper divisors (122730075854880).

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

42997875523200 is a wasteful number, since it uses less digits than its factorization.

42997875523200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347337 (or 347317 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 42997875523200 in words is "forty-two trillion, nine hundred ninety-seven billion, eight hundred seventy-five million, five hundred twenty-three thousand, two hundred".