55406719457761 has 81 divisors (see below), whose sum is σ = 69523892011641. Its totient is φ = 44018289638400.

The previous prime is 55406719457759. The next prime is 55406719457801. The reversal of 55406719457761 is 16775491760455.

It is a happy number.

The square root of 55406719457761 is 7443569.

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

It can be written as a sum of positive squares in 4 ways, for example, as 184818309025 + 55221901148736 = 429905^2 + 7431144^2 .

It is not a de Polignac number, because 55406719457761 - 2¹ = 55406719457759 is a prime.

It is a super-2 number, since 2×55406719457761² (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (55406719457711) 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, 62890714041 + ... + 62890714921.

Almost surely, 2^{55406719457761} is an apocalyptic number.

55406719457761 is the 7443569-th square number.

55406719457761 is the 3721785-th centered octagonal number.

It is an amenable number.

55406719457761 is a deficient number, since it is larger than the sum of its proper divisors (14117172553880).

55406719457761 is an frugal number, since it uses more digits than its factorization.

55406719457761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1952 (or 976 counting only the distinct ones).

The product of its (nonzero) digits is 222264000, while the sum is 67.

The spelling of 55406719457761 in words is "fifty-five trillion, four hundred six billion, seven hundred nineteen million, four hundred fifty-seven thousand, seven hundred sixty-one".