542100752928 has 864 divisors, whose sum is σ = 1981564361280. Its totient is φ = 145508493312.

The previous prime is 542100752899. The next prime is 542100752957. The reversal of 542100752928 is 829257001245.

542100752928 is a `hidden beast` number, since 542 + 10 + 0 + 7 + 5 + 2 + 92 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (542100752899) and next prime (542100752957).

It is a tau number, because it is divible by the number of its divisors (864).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 991043151 + ... + 991043697.

It is an arithmetic number, because the mean of its divisors is an integer number (2293477270).

Almost surely, 2^542100752928 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 542100752928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (990782180640).

542100752928 is an abundant number, since it is smaller than the sum of its proper divisors (1439463608352).

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

542100752928 is an equidigital number, since it uses as much as digits as its factorization.

542100752928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 576 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 542100752928 in words is "five hundred forty-two billion, one hundred million, seven hundred fifty-two thousand, nine hundred twenty-eight".