55305352753200 has 1440 divisors, whose sum is σ = 222371299897344. Its totient is φ = 12601267200000.

The previous prime is 55305352753199. The next prime is 55305352753241. The reversal of 55305352753200 is 235725350355.

55305352753200 is a `hidden beast` number, since 5 + 5 + 3 + 0 + 53 + 5 + 275 + 320 + 0 = 666.

It is a super-2 number, since 2×55305352753200² (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 46829256610 + ... + 46829257790.

Almost surely, 2^{55305352753200} is an apocalyptic number.

55305352753200 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 55305352753200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111185649948672).

55305352753200 is an abundant number, since it is smaller than the sum of its proper divisors (167065947144144).

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

55305352753200 is a wasteful number, since it uses less digits than its factorization.

55305352753200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2315 (or 2301 counting only the distinct ones).

The product of its (nonzero) digits is 2362500, while the sum is 45.

The spelling of 55305352753200 in words is "fifty-five trillion, three hundred five billion, three hundred fifty-two million, seven hundred fifty-three thousand, two hundred".