51082202138688 has 560 divisors, whose sum is σ = 173916634721280. Its totient is φ = 14582416034304.

The previous prime is 51082202138659. The next prime is 51082202138701. The reversal of 51082202138688 is 88683120228015.

51082202138688 is a `hidden beast` number, since 5 + 10 + 8 + 220 + 21 + 386 + 8 + 8 = 666.

It is a super-2 number, since 2×51082202138688² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16568990395 + ... + 16568993477.

Almost surely, 2^{51082202138688} 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 51082202138688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86958317360640).

51082202138688 is an abundant number, since it is smaller than the sum of its proper divisors (122834432582592).

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

51082202138688 is an frugal number, since it uses more digits than its factorization.

51082202138688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5008 (or 4974 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 51082202138688 in words is "fifty-one trillion, eighty-two billion, two hundred two million, one hundred thirty-eight thousand, six hundred eighty-eight".