542355657984 has 756 divisors, whose sum is σ = 1907092422144. Its totient is φ = 153409406976.

The previous prime is 542355657979. The next prime is 542355658067. The reversal of 542355657984 is 489756553245.

542355657984 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 5 + 56 + 579 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (756).

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 83 ways as a sum of consecutive naturals, for example, 1161360919 + ... + 1161361385.

It is an arithmetic number, because the mean of its divisors is an integer number (2522609024).

Almost surely, 2^542355657984 is an apocalyptic number.

542355657984 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 542355657984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (953546211072).

542355657984 is an abundant number, since it is smaller than the sum of its proper divisors (1364736764160).

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

542355657984 is an equidigital number, since it uses as much as digits as its factorization.

542355657984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 642 (or 606 counting only the distinct ones).

The product of its digits is 181440000, while the sum is 63.

The spelling of 542355657984 in words is "five hundred forty-two billion, three hundred fifty-five million, six hundred fifty-seven thousand, nine hundred eighty-four".