542100229447680 has 2240 divisors, whose sum is σ = 2124025653245760. Its totient is φ = 132255489982464.

The previous prime is 542100229447669. The next prime is 542100229447727. The reversal of 542100229447680 is 86744922001245.

542100229447680 is a `hidden beast` number, since 5 + 4 + 2 + 1 + 0 + 0 + 2 + 2 + 94 + 476 + 80 = 666.

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 polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 507109662186 + ... + 507109663254.

Almost surely, 2^{542100229447680} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 542100229447680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062012826622880).

542100229447680 is an abundant number, since it is smaller than the sum of its proper divisors (1581925423798080).

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

542100229447680 is an frugal number, since it uses more digits than its factorization.

542100229447680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1133 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 542100229447680 in words is "five hundred forty-two trillion, one hundred billion, two hundred twenty-nine million, four hundred forty-seven thousand, six hundred eighty".