553552873843200 has 1920 divisors, whose sum is σ = 2321599596687360. Its totient is φ = 113877688320000.

The previous prime is 553552873843187. The next prime is 553552873843267. The reversal of 553552873843200 is 2348378255355.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (60).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 36135045141 + ... + 36135060459.

It is an arithmetic number, because the mean of its divisors is an integer number (1209166456608).

Almost surely, 2^{553552873843200} is an apocalyptic number.

553552873843200 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 553552873843200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1160799798343680).

553552873843200 is an abundant number, since it is smaller than the sum of its proper divisors (1768046722844160).

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

553552873843200 is a wasteful number, since it uses less digits than its factorization.

553552873843200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15491 (or 15448 counting only the distinct ones).

The product of its (nonzero) digits is 120960000, while the sum is 60.

The spelling of 553552873843200 in words is "five hundred fifty-three trillion, five hundred fifty-two billion, eight hundred seventy-three million, eight hundred forty-three thousand, two hundred".