5466327773256 has 192 divisors, whose sum is σ = 17483488788480. Its totient is φ = 1509859854720.

The previous prime is 5466327773239. The next prime is 5466327773273. The reversal of 5466327773256 is 6523777236645.

5466327773256 is a `hidden beast` number, since 5 + 46 + 6 + 3 + 277 + 73 + 256 = 666.

It is an interprime number because it is at equal distance from previous prime (5466327773239) and next prime (5466327773273).

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

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

It is a junction number, because it is equal to n+sod(n) for n = 5466327773193 and 5466327773202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14927505 + ... + 15289311.

It is an arithmetic number, because the mean of its divisors is an integer number (91059837440).

Almost surely, 2^{5466327773256} is an apocalyptic number.

5466327773256 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5466327773256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8741744394240).

5466327773256 is an abundant number, since it is smaller than the sum of its proper divisors (12017161015224).

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

5466327773256 is a wasteful number, since it uses less digits than its factorization.

5466327773256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362824 (or 362817 counting only the distinct ones).

The product of its digits is 266716800, while the sum is 63.

The spelling of 5466327773256 in words is "five trillion, four hundred sixty-six billion, three hundred twenty-seven million, seven hundred seventy-three thousand, two hundred fifty-six".