542852444160 has 1248 divisors, whose sum is σ = 2159931314880. Its totient is φ = 129185611776.

The previous prime is 542852444153. The next prime is 542852444161. The reversal of 542852444160 is 61444258245.

542852444160 is a `hidden beast` number, since 5 + 4 + 28 + 524 + 4 + 41 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (1248).

It is a super-2 number, since 2×542852444160² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542852444161) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3457658802 + ... + 3457658958.

Almost surely, 2^542852444160 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 542852444160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079965657440).

542852444160 is an abundant number, since it is smaller than the sum of its proper divisors (1617078870720).

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

542852444160 is a wasteful number, since it uses less digits than its factorization.

542852444160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 217 counting only the distinct ones).

The product of its (nonzero) digits is 1228800, while the sum is 45.

The spelling of 542852444160 in words is "five hundred forty-two billion, eight hundred fifty-two million, four hundred forty-four thousand, one hundred sixty".