542060101000 has 512 divisors, whose sum is σ = 1507855564800. Its totient is φ = 180247680000.

The previous prime is 542060100931. The next prime is 542060101003. The reversal of 542060101000 is 101060245.

It is a super-2 number, since 2×542060101000² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is not an unprimeable number, because it can be changed into a prime (542060101003) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1477002817 + ... + 1477003183.

It is an arithmetic number, because the mean of its divisors is an integer number (2945030400).

Almost surely, 2^542060101000 is an apocalyptic number.

542060101000 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 542060101000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (753927782400).

542060101000 is an abundant number, since it is smaller than the sum of its proper divisors (965795463800).

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

542060101000 is a wasteful number, since it uses less digits than its factorization.

542060101000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 646 (or 632 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 542060101000 its reverse (101060245), we get a palindrome (542161161245).

The spelling of 542060101000 in words is "five hundred forty-two billion, sixty million, one hundred one thousand".