53837438760000 has 945 divisors, whose sum is σ = 224443709709219. Its totient is φ = 12298656384000.

The previous prime is 53837438759971. The next prime is 53837438760043. The reversal of 53837438760000 is 6783473835.

The square root of 53837438760000 is 7337400.

It is a perfect power (a square), and thus also a powerful number.

53837438760000 is a `hidden beast` number, since 538 + 3 + 7 + 4 + 38 + 76 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 4220855198784 + 49616583561216 = 2054472^2 + 7043904^2 .

It is an unprimeable number.

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 134 ways as a sum of consecutive naturals, for example, 30817079127 + ... + 30817080873.

Almost surely, 2^{53837438760000} is an apocalyptic number.

53837438760000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

53837438760000 is the 7337400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53837438760000

53837438760000 is an abundant number, since it is smaller than the sum of its proper divisors (170606270949219).

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

53837438760000 is an frugal number, since it uses more digits than its factorization.

53837438760000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3546 (or 1764 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 53837438760000 in words is "fifty-three trillion, eight hundred thirty-seven billion, four hundred thirty-eight million, seven hundred sixty thousand".