53264728440 has 1280 divisors, whose sum is σ = 249149260800. Its totient is φ = 9853747200.

The previous prime is 53264728427. The next prime is 53264728493. The reversal of 53264728440 is 4482746235.

It is a happy number.

53264728440 is a `hidden beast` number, since 5 + 326 + 4 + 7 + 284 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 80581710 + ... + 80582370.

It is an arithmetic number, because the mean of its divisors is an integer number (194647860).

Almost surely, 2^53264728440 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 53264728440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124574630400).

53264728440 is an abundant number, since it is smaller than the sum of its proper divisors (195884532360).

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

53264728440 is a wasteful number, since it uses less digits than its factorization.

53264728440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 738 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 45.

The spelling of 53264728440 in words is "fifty-three billion, two hundred sixty-four million, seven hundred twenty-eight thousand, four hundred forty".