51382881792 has 160 divisors (see below), whose sum is σ = 165924380160. Its totient is φ = 15570524160.

The previous prime is 51382881787. The next prime is 51382881799. The reversal of 51382881792 is 29718828315.

51382881792 is a `hidden beast` number, since 513 + 8 + 28 + 8 + 17 + 92 = 666.

It is a super-3 number, since 3×51382881792³ (a number of 33 digits) contains 333 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.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51382881799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16888 + ... + 321015.

It is an arithmetic number, because the mean of its divisors is an integer number (1037027376).

Almost surely, 2^51382881792 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 51382881792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82962190080).

51382881792 is an abundant number, since it is smaller than the sum of its proper divisors (114541498368).

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

51382881792 is a wasteful number, since it uses less digits than its factorization.

51382881792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337941 (or 337919 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The spelling of 51382881792 in words is "fifty-one billion, three hundred eighty-two million, eight hundred eighty-one thousand, seven hundred ninety-two".