52998624000 has 1440 divisors, whose sum is σ = 237051150336. Its totient is φ = 11496038400.

The previous prime is 52998623981. The next prime is 52998624031. The reversal of 52998624000 is 42689925.

52998624000 is a `hidden beast` number, since 529 + 9 + 86 + 2 + 40 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

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

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 159 ways as a sum of consecutive naturals, for example, 417311937 + ... + 417312063.

Almost surely, 2^52998624000 is an apocalyptic number.

52998624000 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 52998624000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118525575168).

52998624000 is an abundant number, since it is smaller than the sum of its proper divisors (184052526336).

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

52998624000 is a wasteful number, since it uses less digits than its factorization.

52998624000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 200 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 52998624000 in words is "fifty-two billion, nine hundred ninety-eight million, six hundred twenty-four thousand".