51186124800 has 576 divisors, whose sum is σ = 191412748800. Its totient is φ = 13403750400.

The previous prime is 51186124799. The next prime is 51186124819. The reversal of 51186124800 is 842168115.

51186124800 is a `hidden beast` number, since 5 + 118 + 61 + 2 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 84326097 + ... + 84326703.

It is an arithmetic number, because the mean of its divisors is an integer number (332313800).

Almost surely, 2^51186124800 is an apocalyptic number.

51186124800 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 51186124800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (95706374400).

51186124800 is an abundant number, since it is smaller than the sum of its proper divisors (140226624000).

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

51186124800 is a wasteful number, since it uses less digits than its factorization.

51186124800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 709 (or 678 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 36.

The spelling of 51186124800 in words is "fifty-one billion, one hundred eighty-six million, one hundred twenty-four thousand, eight hundred".