542960152128 has 448 divisors, whose sum is σ = 1757403648000. Its totient is φ = 163619647488.

The previous prime is 542960152121. The next prime is 542960152157. The reversal of 542960152128 is 821251069245.

542960152128 is a `hidden beast` number, since 5 + 4 + 29 + 601 + 5 + 2 + 12 + 8 = 666.

It is a super-3 number, since 3×542960152128³ (a number of 36 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (542960152121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 633558676 + ... + 633559532.

It is an arithmetic number, because the mean of its divisors is an integer number (3922776000).

Almost surely, 2^542960152128 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 542960152128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (878701824000).

542960152128 is an abundant number, since it is smaller than the sum of its proper divisors (1214443495872).

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

542960152128 is a wasteful number, since it uses less digits than its factorization.

542960152128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1759 (or 1743 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 542960152128 in words is "five hundred forty-two billion, nine hundred sixty million, one hundred fifty-two thousand, one hundred twenty-eight".