53436365568000 has 2304 divisors, whose sum is σ = 206544468049920. Its totient is φ = 13265731584000.

The previous prime is 53436365567993. The next prime is 53436365568017. The reversal of 53436365568000 is 86556363435.

53436365568000 is a `hidden beast` number, since 5 + 3 + 4 + 3 + 6 + 3 + 6 + 556 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 390046463932 + ... + 390046464068.

It is an arithmetic number, because the mean of its divisors is an integer number (89646036480).

Almost surely, 2^{53436365568000} is an apocalyptic number.

53436365568000 is a gapful number since it is divisible by the number (50) 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 53436365568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103272234024960).

53436365568000 is an abundant number, since it is smaller than the sum of its proper divisors (153108102481920).

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

53436365568000 is a wasteful number, since it uses less digits than its factorization.

53436365568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 381 (or 348 counting only the distinct ones).

The product of its (nonzero) digits is 23328000, while the sum is 54.

The spelling of 53436365568000 in words is "fifty-three trillion, four hundred thirty-six billion, three hundred sixty-five million, five hundred sixty-eight thousand".