51602378526072 has 288 divisors, whose sum is σ = 160487190864000. Its totient is φ = 14948383296000.

The previous prime is 51602378526067. The next prime is 51602378526121. The reversal of 51602378526072 is 27062587320615.

51602378526072 is a `hidden beast` number, since 5 + 1 + 6 + 0 + 2 + 378 + 5 + 260 + 7 + 2 = 666.

It is a congruent number.

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, 24506329 + ... + 26528567.

It is an arithmetic number, because the mean of its divisors is an integer number (557247190500).

Almost surely, 2^{51602378526072} 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 51602378526072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80243595432000).

51602378526072 is an abundant number, since it is smaller than the sum of its proper divisors (108884812337928).

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

51602378526072 is a wasteful number, since it uses less digits than its factorization.

51602378526072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2022403 (or 2022385 counting only the distinct ones).

The product of its (nonzero) digits is 8467200, while the sum is 54.

The spelling of 51602378526072 in words is "fifty-one trillion, six hundred two billion, three hundred seventy-eight million, five hundred twenty-six thousand, seventy-two".