542956198950 has 1152 divisors, whose sum is σ = 1839707251200. Its totient is φ = 117573120000.

The previous prime is 542956198949. The next prime is 542956198987. The reversal of 542956198950 is 59891659245.

542956198950 is a `hidden beast` number, since 5 + 4 + 2 + 9 + 5 + 619 + 8 + 9 + 5 + 0 = 666.

It is a super-2 number, since 2×542956198950² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 5375803900 + ... + 5375804000.

It is an arithmetic number, because the mean of its divisors is an integer number (1596968100).

Almost surely, 2^542956198950 is an apocalyptic number.

542956198950 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 542956198950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (919853625600).

542956198950 is an abundant number, since it is smaller than the sum of its proper divisors (1296751052250).

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

542956198950 is a wasteful number, since it uses less digits than its factorization.

542956198950 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260 (or 243 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 542956198950 in words is "five hundred forty-two billion, nine hundred fifty-six million, one hundred ninety-eight thousand, nine hundred fifty".