51192927434880 has 6144 divisors, whose sum is σ = 255151287705600. Its totient is φ = 9551326740480.

The previous prime is 51192927434861. The next prime is 51192927434921. The reversal of 51192927434880 is 8843472929115.

51192927434880 is a `hidden beast` number, since 5 + 1 + 1 + 92 + 9 + 27 + 43 + 488 + 0 = 666.

It is a super-2 number, since 2×51192927434880² (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 767 ways as a sum of consecutive naturals, for example, 497018712909 + ... + 497018713011.

It is an arithmetic number, because the mean of its divisors is an integer number (41528529900).

Almost surely, 2^{51192927434880} 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 51192927434880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127575643852800).

51192927434880 is an abundant number, since it is smaller than the sum of its proper divisors (203958360270720).

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

51192927434880 is a wasteful number, since it uses less digits than its factorization.

51192927434880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 289 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 51192927434880 in words is "fifty-one trillion, one hundred ninety-two billion, nine hundred twenty-seven million, four hundred thirty-four thousand, eight hundred eighty".