537790876128 has 288 divisors, whose sum is σ = 1715312682720. Its totient is φ = 158391521280.

The previous prime is 537790876079. The next prime is 537790876153. The reversal of 537790876128 is 821678097735.

537790876128 is a `hidden beast` number, since 5 + 3 + 7 + 7 + 9 + 0 + 8 + 7 + 612 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144994338 + ... + 144998046.

It is an arithmetic number, because the mean of its divisors is an integer number (5955946815).

Almost surely, 2^537790876128 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 537790876128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (857656341360).

537790876128 is an abundant number, since it is smaller than the sum of its proper divisors (1177521806592).

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

537790876128 is a wasteful number, since it uses less digits than its factorization.

537790876128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 4999 counting only the distinct ones).

The product of its (nonzero) digits is 35562240, while the sum is 63.

The spelling of 537790876128 in words is "five hundred thirty-seven billion, seven hundred ninety million, eight hundred seventy-six thousand, one hundred twenty-eight".