542365752960 has 256 divisors, whose sum is σ = 1936011571200. Its totient is φ = 143491461120.

The previous prime is 542365752949. The next prime is 542365753001. The reversal of 542365752960 is 69257563245.

It is a happy number.

542365752960 is a `hidden beast` number, since 5 + 4 + 2 + 3 + 6 + 57 + 529 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 542365752897 and 542365752906.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2070990 + ... + 2318130.

It is an arithmetic number, because the mean of its divisors is an integer number (7562545200).

Almost surely, 2^542365752960 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 542365752960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (968005785600).

542365752960 is an abundant number, since it is smaller than the sum of its proper divisors (1393645818240).

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

542365752960 is a wasteful number, since it uses less digits than its factorization.

542365752960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 247296 (or 247278 counting only the distinct ones).

The product of its (nonzero) digits is 13608000, while the sum is 54.

The spelling of 542365752960 in words is "five hundred forty-two billion, three hundred sixty-five million, seven hundred fifty-two thousand, nine hundred sixty".