542915416368 has 320 divisors, whose sum is σ = 1735271157760. Its totient is φ = 161392435200.

The previous prime is 542915416367. The next prime is 542915416409. The reversal of 542915416368 is 863614519245.

542915416368 is a `hidden beast` number, since 5 + 4 + 2 + 91 + 541 + 6 + 3 + 6 + 8 = 666.

It is a super-2 number, since 2×542915416368² (a number of 24 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (542915416363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 120298080 + ... + 120302592.

It is an arithmetic number, because the mean of its divisors is an integer number (5422722368).

Almost surely, 2^542915416368 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 542915416368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (867635578880).

542915416368 is an abundant number, since it is smaller than the sum of its proper divisors (1192355741392).

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

542915416368 is a wasteful number, since it uses less digits than its factorization.

542915416368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5253 counting only the distinct ones).

The product of its digits is 6220800, while the sum is 54.

The spelling of 542915416368 in words is "five hundred forty-two billion, nine hundred fifteen million, four hundred sixteen thousand, three hundred sixty-eight".