53776540896001 has 81 divisors (see below), whose sum is σ = 69384657502881. Its totient is φ = 41526722437200.

The previous prime is 53776540895983. The next prime is 53776540896011. The reversal of 53776540896001 is 10069804567735.

It is a happy number.

The square root of 53776540896001 is 7333249.

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

It is not a de Polignac number, because 53776540896001 - 2⁹ = 53776540895489 is a prime.

It is not an unprimeable number, because it can be changed into a prime (53776540896011) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 73970482300 + ... + 73970483026.

Almost surely, 2^{53776540896001} is an apocalyptic number.

53776540896001 is the 7333249-th square number.

53776540896001 is the 3666625-th centered octagonal number.

It is an amenable number.

53776540896001 is a deficient number, since it is larger than the sum of its proper divisors (15608116606880).

53776540896001 is an frugal number, since it uses more digits than its factorization.

53776540896001 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1752 (or 876 counting only the distinct ones).

The product of its (nonzero) digits is 38102400, while the sum is 61.

The spelling of 53776540896001 in words is "fifty-three trillion, seven hundred seventy-six billion, five hundred forty million, eight hundred ninety-six thousand, one".