51055121850840 has 512 divisors, whose sum is σ = 180338441472000. Its totient is φ = 12812013139968.

The previous prime is 51055121850827. The next prime is 51055121850841. The reversal of 51055121850840 is 4805812155015.

51055121850840 is a `hidden beast` number, since 5 + 1 + 0 + 5 + 512 + 1 + 8 + 50 + 84 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (51055121850841) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5938709422 + ... + 5938718018.

It is an arithmetic number, because the mean of its divisors is an integer number (352223518500).

Almost surely, 2^{51055121850840} 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 51055121850840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90169220736000).

51055121850840 is an abundant number, since it is smaller than the sum of its proper divisors (129283319621160).

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

51055121850840 is a wasteful number, since it uses less digits than its factorization.

51055121850840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10536 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 320000, while the sum is 45.

The spelling of 51055121850840 in words is "fifty-one trillion, fifty-five billion, one hundred twenty-one million, eight hundred fifty thousand, eight hundred forty".