542805419520 has 1920 divisors, whose sum is σ = 2490829076736. Its totient is φ = 105998450688.

The previous prime is 542805419509. The next prime is 542805419531. The reversal of 542805419520 is 25914508245.

542805419520 is a `hidden beast` number, since 5 + 4 + 2 + 80 + 5 + 41 + 9 + 520 = 666.

It is an interprime number because it is at equal distance from previous prime (542805419509) and next prime (542805419531).

It is a tau number, because it is divible by the number of its divisors (1920).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3457359282 + ... + 3457359438.

Almost surely, 2^542805419520 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 542805419520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245414538368).

542805419520 is an abundant number, since it is smaller than the sum of its proper divisors (1948023657216).

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

542805419520 is a wasteful number, since it uses less digits than its factorization.

542805419520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 542805419520 in words is "five hundred forty-two billion, eight hundred five million, four hundred nineteen thousand, five hundred twenty".