542306895081984 has 400 divisors, whose sum is σ = 1658652693417720. Its totient is φ = 176303563407360.

The previous prime is 542306895081983. The next prime is 542306895082027. The reversal of 542306895081984 is 489180598603245.

542306895081984 is a `hidden beast` number, since 5 + 4 + 2 + 30 + 6 + 8 + 9 + 508 + 1 + 9 + 84 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 335837584560384 + 206469310521600 = 18325872^2 + 14369040^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (542306895081983) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5490387222 + ... + 5490485994.

Almost surely, 2^{542306895081984} is an apocalyptic number.

542306895081984 is a gapful number since it is divisible by the number (54) 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 542306895081984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (829326346708860).

542306895081984 is an abundant number, since it is smaller than the sum of its proper divisors (1116345798335736).

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

542306895081984 is an equidigital number, since it uses as much as digits as its factorization.

542306895081984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102073 (or 102048 counting only the distinct ones).

The product of its (nonzero) digits is 597196800, while the sum is 72.

The spelling of 542306895081984 in words is "five hundred forty-two trillion, three hundred six billion, eight hundred ninety-five million, eighty-one thousand, nine hundred eighty-four".