53316144000 has 896 divisors, whose sum is σ = 227484953280. Its totient is φ = 12167884800.

The previous prime is 53316143989. The next prime is 53316144031. The reversal of 53316144000 is 44161335.

53316144000 is a `hidden beast` number, since 5 + 3 + 3 + 1 + 614 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (896).

It is a super-2 number, since 2×53316144000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 111 ways as a sum of consecutive naturals, for example, 81647674 + ... + 81648326.

Almost surely, 2^53316144000 is an apocalyptic number.

53316144000 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 53316144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113742476640).

53316144000 is an abundant number, since it is smaller than the sum of its proper divisors (174168809280).

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

53316144000 is an frugal number, since it uses more digits than its factorization.

53316144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 707 (or 670 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The spelling of 53316144000 in words is "fifty-three billion, three hundred sixteen million, one hundred forty-four thousand".