53181286760448 has 1440 divisors, whose sum is σ = 202914100666368. Its totient is φ = 13515757977600.

The previous prime is 53181286760417. The next prime is 53181286760507. The reversal of 53181286760448 is 84406768218135.

53181286760448 is a `hidden beast` number, since 5 + 3 + 1 + 8 + 12 + 8 + 6 + 7 + 604 + 4 + 8 = 666.

It is a super-2 number, since 2×53181286760448² (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 polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 14408366283 + ... + 14408369973.

Almost surely, 2^{53181286760448} 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 53181286760448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101457050333184).

53181286760448 is an abundant number, since it is smaller than the sum of its proper divisors (149732813905920).

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

53181286760448 is an equidigital number, since it uses as much as digits as its factorization.

53181286760448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3799 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 61931520, while the sum is 63.

The spelling of 53181286760448 in words is "fifty-three trillion, one hundred eighty-one billion, two hundred eighty-six million, seven hundred sixty thousand, four hundred forty-eight".