542650397760 has 336 divisors, whose sum is σ = 1946362579200. Its totient is φ = 142326097920.

The previous prime is 542650397747. The next prime is 542650397767. The reversal of 542650397760 is 67793056245.

542650397760 is a `hidden beast` number, since 5 + 4 + 2 + 6 + 503 + 9 + 77 + 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 = 542650397697 and 542650397706.

It is not an unprimeable number, because it can be changed into a prime (542650397767) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32141001 + ... + 32157879.

Almost surely, 2^542650397760 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 542650397760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (973181289600).

542650397760 is an abundant number, since it is smaller than the sum of its proper divisors (1403712181440).

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

542650397760 is a wasteful number, since it uses less digits than its factorization.

542650397760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17027 (or 16950 counting only the distinct ones).

The product of its (nonzero) digits is 9525600, while the sum is 54.

The spelling of 542650397760 in words is "five hundred forty-two billion, six hundred fifty million, three hundred ninety-seven thousand, seven hundred sixty".