51069533746896 has 1280 divisors, whose sum is σ = 181428387840000. Its totient is φ = 13448866129920.

The previous prime is 51069533746877. The next prime is 51069533747003. The reversal of 51069533746896 is 69864733596015.

51069533746896 is a `hidden beast` number, since 5 + 1 + 0 + 6 + 9 + 533 + 7 + 4 + 6 + 89 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 24330410455 + ... + 24330412553.

It is an arithmetic number, because the mean of its divisors is an integer number (141740928000).

Almost surely, 2^{51069533746896} is an apocalyptic number.

51069533746896 is a gapful number since it is divisible by the number (56) 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 51069533746896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90714193920000).

51069533746896 is an abundant number, since it is smaller than the sum of its proper divisors (130358854093104).

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

51069533746896 is a wasteful number, since it uses less digits than its factorization.

51069533746896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 881798400, while the sum is 72.

The spelling of 51069533746896 in words is "fifty-one trillion, sixty-nine billion, five hundred thirty-three million, seven hundred forty-six thousand, eight hundred ninety-six".