542964348057600 has 5184 divisors, whose sum is σ = 2529195308640000. Its totient is φ = 113522334105600.

The previous prime is 542964348057589. The next prime is 542964348057647. The reversal of 542964348057600 is 6750843469245.

542964348057600 is a `hidden beast` number, since 5 + 4 + 2 + 9 + 6 + 43 + 480 + 57 + 60 + 0 = 666.

It is a super-2 number, since 2×542964348057600² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1236820838181 + ... + 1236820838619.

It is an arithmetic number, because the mean of its divisors is an integer number (487884897500).

Almost surely, 2^{542964348057600} is an apocalyptic number.

542964348057600 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 542964348057600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1264597654320000).

542964348057600 is an abundant number, since it is smaller than the sum of its proper divisors (1986230960582400).

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

542964348057600 is a wasteful number, since it uses less digits than its factorization.

542964348057600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 575 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 174182400, while the sum is 63.

The spelling of 542964348057600 in words is "five hundred forty-two trillion, nine hundred sixty-four billion, three hundred forty-eight million, fifty-seven thousand, six hundred".