55958688146916 has 81 divisors (see below), whose sum is σ = 142588211392809. Its totient is φ = 18504137752128.

The previous prime is 55958688146897. The next prime is 55958688146939. The reversal of 55958688146916 is 61964188685955.

The square root of 55958688146916 is 7480554.

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

55958688146916 is a `hidden beast` number, since 5 + 5 + 9 + 5 + 8 + 68 + 81 + 469 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 55594471068900 + 364217078016 = 7456170^2 + 603504^2 .

It is a super-2 number, since 2×55958688146916² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 5700177240 + ... + 5700187056.

Almost surely, 2^{55958688146916} is an apocalyptic number.

55958688146916 is the 7480554-th square number.

It is an amenable number.

55958688146916 is an abundant number, since it is smaller than the sum of its proper divisors (86629523245893).

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

55958688146916 is an frugal number, since it uses more digits than its factorization.

55958688146916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19898 (or 9949 counting only the distinct ones).

The product of its digits is 4478976000, while the sum is 81.

The spelling of 55958688146916 in words is "fifty-five trillion, nine hundred fifty-eight billion, six hundred eighty-eight million, one hundred forty-six thousand, nine hundred sixteen".