242535772800 has 1152 divisors, whose sum is σ = 954658897920. Its totient is φ = 60673536000.

The previous prime is 242535772799. The next prime is 242535772807. The reversal of 242535772800 is 8277535242.

242535772800 is a `hidden beast` number, since 2 + 4 + 2 + 53 + 577 + 28 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is not an unprimeable number, because it can be changed into a prime (242535772807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1269820705 + ... + 1269820895.

It is an arithmetic number, because the mean of its divisors is an integer number (828696960).

Almost surely, 2^242535772800 is an apocalyptic number.

242535772800 is a gapful number since it is divisible by the number (20) 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 242535772800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477329448960).

242535772800 is an abundant number, since it is smaller than the sum of its proper divisors (712123125120).

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

242535772800 is a wasteful number, since it uses less digits than its factorization.

242535772800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 295 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 242535772800 in words is "two hundred forty-two billion, five hundred thirty-five million, seven hundred seventy-two thousand, eight hundred".