542072521267200 has 3456 divisors, whose sum is σ = 2478645476536320. Its totient is φ = 109959413760000.

The previous prime is 542072521267177. The next prime is 542072521267201. The reversal of 542072521267200 is 2762125270245.

542072521267200 is a `hidden beast` number, since 5 + 4 + 207 + 25 + 212 + 6 + 7 + 200 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542072521267201) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 269553714195 + ... + 269553716205.

It is an arithmetic number, because the mean of its divisors is an integer number (717200658720).

Almost surely, 2^{542072521267200} is an apocalyptic number.

542072521267200 is a gapful number since it is divisible by the number (50) 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 542072521267200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1239322738268160).

542072521267200 is an abundant number, since it is smaller than the sum of its proper divisors (1936572955269120).

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

542072521267200 is a wasteful number, since it uses less digits than its factorization.

542072521267200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2245 (or 2217 counting only the distinct ones).

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

The spelling of 542072521267200 in words is "five hundred forty-two trillion, seventy-two billion, five hundred twenty-one million, two hundred sixty-seven thousand, two hundred".