53847756864000 has 1440 divisors, whose sum is σ = 215604348719760. Its totient is φ = 12905840640000.

The previous prime is 53847756863851. The next prime is 53847756864017. The reversal of 53847756864000 is 46865774835.

53847756864000 is a `hidden beast` number, since 5 + 3 + 8 + 4 + 7 + 7 + 568 + 64 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1926854924544 + 51920901939456 = 1388112^2 + 7205616^2 .

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×53847756864000² (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6202939660 + ... + 6202948340.

Almost surely, 2^{53847756864000} is an apocalyptic number.

53847756864000 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 53847756864000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107802174359880).

53847756864000 is an abundant number, since it is smaller than the sum of its proper divisors (161756591855760).

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

53847756864000 is a wasteful number, since it uses less digits than its factorization.

53847756864000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8831 (or 8791 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

It can be divided in two parts, 5384775 and 6864000, that added together give a triangular number (12248775 = T₄₉₄₉).

The spelling of 53847756864000 in words is "fifty-three trillion, eight hundred forty-seven billion, seven hundred fifty-six million, eight hundred sixty-four thousand".