53388384000 has 576 divisors, whose sum is σ = 206623872000. Its totient is φ = 11964825600.

The previous prime is 53388383981. The next prime is 53388384037. The reversal of 53388384000 is 48388335.

It is a super-2 number, since 2×53388384000² (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 35615251 + ... + 35616749.

It is an arithmetic number, because the mean of its divisors is an integer number (358722000).

Almost surely, 2^53388384000 is an apocalyptic number.

53388384000 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 53388384000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103311936000).

53388384000 is an abundant number, since it is smaller than the sum of its proper divisors (153235488000).

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

53388384000 is a wasteful number, since it uses less digits than its factorization.

53388384000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1593 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The spelling of 53388384000 in words is "fifty-three billion, three hundred eighty-eight million, three hundred eighty-four thousand".