542530930951800 has 480 divisors, whose sum is σ = 2159342570373120. Its totient is φ = 123669166521600.

The previous prime is 542530930951799. The next prime is 542530930951817. The reversal of 542530930951800 is 8159039035245.

542530930951800 is a `hidden beast` number, since 5 + 4 + 2 + 5 + 30 + 93 + 0 + 9 + 518 + 0 + 0 = 666.

It is a super-2 number, since 2×542530930951800² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 35099785 + ... + 48135815.

It is an arithmetic number, because the mean of its divisors is an integer number (4498630354944).

Almost surely, 2^{542530930951800} is an apocalyptic number.

542530930951800 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 542530930951800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079671285186560).

542530930951800 is an abundant number, since it is smaller than the sum of its proper divisors (1616811639421320).

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

542530930951800 is a wasteful number, since it uses less digits than its factorization.

542530930951800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13036433 (or 13036415 counting only the distinct ones).

The product of its (nonzero) digits is 5832000, while the sum is 54.

The spelling of 542530930951800 in words is "five hundred forty-two trillion, five hundred thirty billion, nine hundred thirty million, nine hundred fifty-one thousand, eight hundred".