53464003084800 has 5760 divisors, whose sum is σ = 269509150310400. Its totient is φ = 10158317568000.

The previous prime is 53464003084711. The next prime is 53464003084829. The reversal of 53464003084800 is 848030046435.

53464003084800 is a `hidden beast` number, since 5 + 3 + 464 + 0 + 0 + 30 + 84 + 80 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (5760).

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 141065971011 + ... + 141065971389.

It is an arithmetic number, because the mean of its divisors is an integer number (46789783040).

Almost surely, 2^{53464003084800} is an apocalyptic number.

53464003084800 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 53464003084800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134754575155200).

53464003084800 is an abundant number, since it is smaller than the sum of its proper divisors (216045147225600).

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

53464003084800 is a wasteful number, since it uses less digits than its factorization.

53464003084800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 490 (or 457 counting only the distinct ones).

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

The spelling of 53464003084800 in words is "fifty-three trillion, four hundred sixty-four billion, three million, eighty-four thousand, eight hundred".