53338824000 has 1120 divisors, whose sum is σ = 246245725440. Its totient is φ = 11073024000.

The previous prime is 53338823971. The next prime is 53338824023. The reversal of 53338824000 is 42883335.

53338824000 is a `hidden beast` number, since 5 + 33 + 388 + 240 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1120).

It is a super-5 number, since 5×53338824000⁵ (a number of 55 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 49895466 + ... + 49896534.

Almost surely, 2^53338824000 is an apocalyptic number.

53338824000 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 53338824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123122862720).

53338824000 is an abundant number, since it is smaller than the sum of its proper divisors (192906901440).

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

53338824000 is a wasteful number, since it uses less digits than its factorization.

53338824000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1126 (or 1097 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 53338824000 in words is "fifty-three billion, three hundred thirty-eight million, eight hundred twenty-four thousand".