51888679752 has 288 divisors, whose sum is σ = 164731358880. Its totient is φ = 13573647360.

The previous prime is 51888679741. The next prime is 51888679763. The reversal of 51888679752 is 25797688815.

It is an interprime number because it is at equal distance from previous prime (51888679741) and next prime (51888679763).

It is a super-2 number, since 2×51888679752² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26034468 + ... + 26036460.

It is an arithmetic number, because the mean of its divisors is an integer number (571983885).

Almost surely, 2^51888679752 is an apocalyptic number.

51888679752 is a gapful number since it is divisible by the number (52) 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 51888679752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82365679440).

51888679752 is an abundant number, since it is smaller than the sum of its proper divisors (112842679128).

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

51888679752 is a wasteful number, since it uses less digits than its factorization.

51888679752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2173 (or 2149 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 66.

The spelling of 51888679752 in words is "fifty-one billion, eight hundred eighty-eight million, six hundred seventy-nine thousand, seven hundred fifty-two".