53436329856 has 1344 divisors, whose sum is σ = 213517987200. Its totient is φ = 13168189440.

The previous prime is 53436329851. The next prime is 53436329953. The reversal of 53436329856 is 65892363435.

53436329856 is a `hidden beast` number, since 5 + 343 + 6 + 3 + 298 + 5 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53436329851) by changing a digit.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 1723752561 + ... + 1723752591.

It is an arithmetic number, because the mean of its divisors is an integer number (158867550).

Almost surely, 2^53436329856 is an apocalyptic number.

53436329856 is a gapful number since it is divisible by the number (56) 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 53436329856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106758993600).

53436329856 is an abundant number, since it is smaller than the sum of its proper divisors (160081657344).

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

53436329856 is a wasteful number, since it uses less digits than its factorization.

53436329856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 85 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 53436329856 in words is "fifty-three billion, four hundred thirty-six million, three hundred twenty-nine thousand, eight hundred fifty-six".