51056179200 has 720 divisors, whose sum is σ = 203862498840. Its totient is φ = 12554403840.

The previous prime is 51056179199. The next prime is 51056179241. The reversal of 51056179200 is 297165015.

51056179200 is a `hidden beast` number, since 5 + 1 + 0 + 561 + 7 + 92 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 53913127 + ... + 53914073.

Almost surely, 2^51056179200 is an apocalyptic number.

51056179200 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 51056179200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101931249420).

51056179200 is an abundant number, since it is smaller than the sum of its proper divisors (152806319640).

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

51056179200 is a wasteful number, since it uses less digits than its factorization.

51056179200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1004 (or 970 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The spelling of 51056179200 in words is "fifty-one billion, fifty-six million, one hundred seventy-nine thousand, two hundred".