53412286464000 has 1536 divisors, whose sum is σ = 202024075518720. Its totient is φ = 14077919232000.

The previous prime is 53412286463923. The next prime is 53412286464001. The reversal of 53412286464000 is 46468221435.

53412286464000 is a `hidden beast` number, since 5 + 3 + 4 + 122 + 86 + 46 + 400 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is not an unprimeable number, because it can be changed into a prime (53412286464001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 102518783740 + ... + 102518784260.

Almost surely, 2^{53412286464000} is an apocalyptic number.

53412286464000 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 53412286464000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101012037759360).

53412286464000 is an abundant number, since it is smaller than the sum of its proper divisors (148611789054720).

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

53412286464000 is an frugal number, since it uses more digits than its factorization.

53412286464000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 634 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The spelling of 53412286464000 in words is "fifty-three trillion, four hundred twelve billion, two hundred eighty-six million, four hundred sixty-four thousand".