53286127440 has 320 divisors, whose sum is σ = 205411186176. Its totient is φ = 11126439936.

The previous prime is 53286127409. The next prime is 53286127441. The reversal of 53286127440 is 4472168235.

It is a super-2 number, since 2×53286127440² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 53286127392 and 53286127401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53286127441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2105904 + ... + 2131056.

Almost surely, 2^53286127440 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 53286127440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102705593088).

53286127440 is an abundant number, since it is smaller than the sum of its proper divisors (152125058736).

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

53286127440 is a wasteful number, since it uses less digits than its factorization.

53286127440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25286 (or 25280 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 42.

The spelling of 53286127440 in words is "fifty-three billion, two hundred eighty-six million, one hundred twenty-seven thousand, four hundred forty".