553127680800 has 1728 divisors, whose sum is σ = 2358569041920. Its totient is φ = 125471047680.

The previous prime is 553127680709. The next prime is 553127680801. The reversal of 553127680800 is 8086721355.

553127680800 is a `hidden beast` number, since 553 + 12 + 7 + 6 + 8 + 0 + 80 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (553127680801) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1444197409 + ... + 1444197791.

It is an arithmetic number, because the mean of its divisors is an integer number (1364912640).

Almost surely, 2^553127680800 is an apocalyptic number.

553127680800 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 553127680800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1179284520960).

553127680800 is an abundant number, since it is smaller than the sum of its proper divisors (1805441361120).

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

553127680800 is a wasteful number, since it uses less digits than its factorization.

553127680800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 477 (or 452 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 553127680800 in words is "five hundred fifty-three billion, one hundred twenty-seven million, six hundred eighty thousand, eight hundred".