542616345600 has 528 divisors, whose sum is σ = 2068945936128. Its totient is φ = 122854440960.

The previous prime is 542616345581. The next prime is 542616345613. The reversal of 542616345600 is 6543616245.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57518484 + ... + 57527916.

Almost surely, 2^542616345600 is an apocalyptic number.

542616345600 is a gapful number since it is divisible by the number (50) 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 542616345600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1034472968064).

542616345600 is an abundant number, since it is smaller than the sum of its proper divisors (1526329590528).

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

542616345600 is a wasteful number, since it uses less digits than its factorization.

542616345600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9580 (or 9557 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 542616345600 in words is "five hundred forty-two billion, six hundred sixteen million, three hundred forty-five thousand, six hundred".