51275441664 has 480 divisors, whose sum is σ = 163843680000. Its totient is φ = 15963070464.

The previous prime is 51275441653. The next prime is 51275441677. The reversal of 51275441664 is 46614457215.

51275441664 is a `hidden beast` number, since 5 + 127 + 54 + 416 + 64 = 666.

Its product of digits (806400) is a multiple of the sum of its prime factors (360).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 257665437 + ... + 257665635.

It is an arithmetic number, because the mean of its divisors is an integer number (341341000).

Almost surely, 2^51275441664 is an apocalyptic number.

51275441664 is a gapful number since it is divisible by the number (54) 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 51275441664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81921840000).

51275441664 is an abundant number, since it is smaller than the sum of its proper divisors (112568238336).

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

51275441664 is a wasteful number, since it uses less digits than its factorization.

51275441664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 332 counting only the distinct ones).

The product of its digits is 806400, while the sum is 45.

Adding to 51275441664 its reverse (46614457215), we get a palindrome (97889898879).

The spelling of 51275441664 in words is "fifty-one billion, two hundred seventy-five million, four hundred forty-one thousand, six hundred sixty-four".