55166735376 has 225 divisors, whose sum is σ = 165888230781. Its totient is φ = 17114004864.

The previous prime is 55166735359. The next prime is 55166735389. The reversal of 55166735376 is 67353766155.

The square root of 55166735376 is 234876.

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

55166735376 is a `hidden beast` number, since 5 + 516 + 6 + 7 + 3 + 53 + 76 = 666.

It can be written as a sum of positive squares in only one way, i.e., 49363952400 + 5802782976 = 222180^2 + 76176^2 .

It is a super-2 number, since 2×55166735376² (a number of 22 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (11907000) is a multiple of the sum of its prime factors (180).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1490992830 + ... + 1490992866.

Almost surely, 2^55166735376 is an apocalyptic number.

55166735376 is the 234876-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55166735376

55166735376 is an abundant number, since it is smaller than the sum of its proper divisors (110721495405).

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

55166735376 is an frugal number, since it uses more digits than its factorization.

55166735376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 65 counting only the distinct ones).

The product of its digits is 11907000, while the sum is 54.

The spelling of 55166735376 in words is "fifty-five billion, one hundred sixty-six million, seven hundred thirty-five thousand, three hundred seventy-six".