53132986368 has 384 divisors, whose sum is σ = 196245504000. Its totient is φ = 13799669760.

The previous prime is 53132986363. The next prime is 53132986451. The reversal of 53132986368 is 86368923135.

It is a happy number.

53132986368 is a `hidden beast` number, since 5 + 313 + 298 + 6 + 36 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×53132986368² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (53132986363) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4251553 + ... + 4264031.

It is an arithmetic number, because the mean of its divisors is an integer number (511056000).

Almost surely, 2^53132986368 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 53132986368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98122752000).

53132986368 is an abundant number, since it is smaller than the sum of its proper divisors (143112517632).

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

53132986368 is a wasteful number, since it uses less digits than its factorization.

53132986368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12528 (or 12502 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 53132986368 in words is "fifty-three billion, one hundred thirty-two million, nine hundred eighty-six thousand, three hundred sixty-eight".