51872094720 has 240 divisors, whose sum is σ = 182114484552. Its totient is φ = 13642629120.

The previous prime is 51872094719. The next prime is 51872094721. The reversal of 51872094720 is 2749027815.

It is a happy number.

51872094720 is a `hidden beast` number, since 518 + 7 + 20 + 94 + 7 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (51872094719) and next prime (51872094721).

It can be written as a sum of positive squares in 4 ways, for example, as 48266332416 + 3605762304 = 219696^2 + 60048^2 .

It is a tau number, because it is divible by the number of its divisors (240).

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 (51872094721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1666500 + ... + 1697340.

Almost surely, 2^51872094720 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 51872094720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91057242276).

51872094720 is an abundant number, since it is smaller than the sum of its proper divisors (130242389832).

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

51872094720 is a wasteful number, since it uses less digits than its factorization.

51872094720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30943 (or 30924 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 51872094720 in words is "fifty-one billion, eight hundred seventy-two million, ninety-four thousand, seven hundred twenty".