51199852032000 has 3328 divisors, whose sum is σ = 225219211776000. Its totient is φ = 11234731622400.

The previous prime is 51199852031969. The next prime is 51199852032001. The reversal of 51199852032000 is 23025899115.

51199852032000 is a `hidden beast` number, since 5 + 1 + 1 + 9 + 98 + 520 + 32 + 0 + 0 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (51199852032001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 343623167926 + ... + 343623168074.

It is an arithmetic number, because the mean of its divisors is an integer number (67674042000).

Almost surely, 2^{51199852032000} is an apocalyptic number.

51199852032000 is a gapful number since it is divisible by the number (50) 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 51199852032000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112609605888000).

51199852032000 is an abundant number, since it is smaller than the sum of its proper divisors (174019359744000).

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

51199852032000 is a wasteful number, since it uses less digits than its factorization.

51199852032000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 324 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The spelling of 51199852032000 in words is "fifty-one trillion, one hundred ninety-nine billion, eight hundred fifty-two million, thirty-two thousand".