54865566756 has 675 divisors, whose sum is σ = 198675471687. Its totient is φ = 13154581440.

The previous prime is 54865566737. The next prime is 54865566773. The reversal of 54865566756 is 65766556845.

The square root of 54865566756 is 234234.

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

54865566756 is a `hidden beast` number, since 5 + 4 + 8 + 6 + 556 + 6 + 75 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27203224356 + 27662342400 = 164934^2 + 166320^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

Its product of digits (181440000) is a multiple of the sum of its prime divisors (36).

It is a junction number, because it is equal to n+sod(n) for n = 54865566693 and 54865566702.

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 4220428206 + ... + 4220428218.

Almost surely, 2^54865566756 is an apocalyptic number.

54865566756 is the 234234-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 54865566756

54865566756 is an abundant number, since it is smaller than the sum of its proper divisors (143809904931).

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

54865566756 is a wasteful number, since it uses less digits than its factorization.

54865566756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104 (or 36 counting only the distinct ones).

The product of its digits is 181440000, while the sum is 63.

The spelling of 54865566756 in words is "fifty-four billion, eight hundred sixty-five million, five hundred sixty-six thousand, seven hundred fifty-six".