51155651251872 has 72 divisors (see below), whose sum is σ = 145617491070324. Its totient is φ = 17035050599424.

The previous prime is 51155651251871. The next prime is 51155651251883. The reversal of 51155651251872 is 27815215655115.

51155651251872 is a `hidden beast` number, since 5 + 1 + 1 + 5 + 5 + 6 + 51 + 2 + 518 + 72 = 666.

51155651251872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 27398566484496 + 23757084767376 = 5234364^2 + 4874124^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-3 number, since 3×51155651251872³ (a number of 42 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (51155651251871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 87380413 + ... + 87963900.

Almost surely, 2^{51155651251872} is an apocalyptic number.

It is an amenable number.

51155651251872 is an abundant number, since it is smaller than the sum of its proper divisors (94461839818452).

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

51155651251872 is a wasteful number, since it uses less digits than its factorization.

51155651251872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175345342 (or 175345331 counting only the distinct ones).

The product of its digits is 4200000, while the sum is 54.

The spelling of 51155651251872 in words is "fifty-one trillion, one hundred fifty-five billion, six hundred fifty-one million, two hundred fifty-one thousand, eight hundred seventy-two".