542354252554400 has 432 divisors, whose sum is σ = 1585398403320480. Its totient is φ = 178613987635200.

The previous prime is 542354252554379. The next prime is 542354252554441. The reversal of 542354252554400 is 4455252453245.

It is a Harshad number since it is a multiple of its sum of digits (50).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 320505731 + ... + 322193469.

It is an arithmetic number, because the mean of its divisors is an integer number (3669903711390).

Almost surely, 2^{542354252554400} is an apocalyptic number.

542354252554400 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 542354252554400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (792699201660240).

542354252554400 is an abundant number, since it is smaller than the sum of its proper divisors (1043044150766080).

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

542354252554400 is a wasteful number, since it uses less digits than its factorization.

542354252554400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687889 (or 1687823 counting only the distinct ones).

The product of its (nonzero) digits is 19200000, while the sum is 50.

The spelling of 542354252554400 in words is "five hundred forty-two trillion, three hundred fifty-four billion, two hundred fifty-two million, five hundred fifty-four thousand, four hundred".