53766479376 has 315 divisors, whose sum is σ = 166312096509. Its totient is φ = 16828632576.

The previous prime is 53766479359. The next prime is 53766479381. The reversal of 53766479376 is 67397466735.

The square root of 53766479376 is 231876.

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

53766479376 is a `hidden beast` number, since 5 + 37 + 66 + 479 + 3 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 947408400 + 52819070976 = 30780^2 + 229824^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 475809496 + ... + 475809608.

Almost surely, 2^53766479376 is an apocalyptic number.

53766479376 is the 231876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53766479376

53766479376 is an abundant number, since it is smaller than the sum of its proper divisors (112545617133).

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

53766479376 is an equidigital number, since it uses as much as digits as its factorization.

53766479376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 290 (or 137 counting only the distinct ones).

The product of its digits is 120022560, while the sum is 63.

The spelling of 53766479376 in words is "fifty-three billion, seven hundred sixty-six million, four hundred seventy-nine thousand, three hundred seventy-six".