55526680881 has 63 divisors (see below), whose sum is σ = 93983024811. Its totient is φ = 31590975024.

The previous prime is 55526680879. The next prime is 55526680889. The reversal of 55526680881 is 18808662555.

55526680881 = 1³ + 2³ + ... + 686³.

The square root of 55526680881 is 235641.

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

55526680881 is a `hidden beast` number, since 5 + 552 + 6 + 6 + 8 + 0 + 8 + 81 = 666.

It can be written as a sum of positive squares in only one way, i.e., 51714853281 + 3811827600 = 227409^2 + 61740^2 .

It is a tau number, because it is divible by the number of its divisors (63).

It is not a de Polignac number, because 55526680881 - 2¹ = 55526680879 is a prime.

It is a super-2 number, since 2×55526680881² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55526680889) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 242474475 + ... + 242474703.

Almost surely, 2^55526680881 is an apocalyptic number.

55526680881 is the 235641-st square number.

55526680881 is the 117821-st centered octagonal number.

It is an amenable number.

55526680881 is a deficient number, since it is larger than the sum of its proper divisors (38456343930).

55526680881 is an frugal number, since it uses more digits than its factorization.

55526680881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 506 (or 239 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 55526680881 in words is "fifty-five billion, five hundred twenty-six million, six hundred eighty thousand, eight hundred eighty-one".