537948979200 has 1296 divisors, whose sum is σ = 2167807267080. Its totient is φ = 126835752960.

The previous prime is 537948979181. The next prime is 537948979201. The reversal of 537948979200 is 2979849735.

537948979200 is a `hidden beast` number, since 537 + 9 + 4 + 8 + 9 + 7 + 92 + 0 + 0 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 190962008064 + 346986971136 = 436992^2 + 589056^2 .

It is not an unprimeable number, because it can be changed into a prime (537948979201) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14539161582 + ... + 14539161618.

Almost surely, 2^537948979200 is an apocalyptic number.

537948979200 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 537948979200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1083903633540).

537948979200 is an abundant number, since it is smaller than the sum of its proper divisors (1629858287880).

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

537948979200 is a wasteful number, since it uses less digits than its factorization.

537948979200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 133 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 34292160, while the sum is 63.

The spelling of 537948979200 in words is "five hundred thirty-seven billion, nine hundred forty-eight million, nine hundred seventy-nine thousand, two hundred".