553471577987328 has 1440 divisors, whose sum is σ = 2261083098489600. Its totient is φ = 132700234383360.

The previous prime is 553471577987327. The next prime is 553471577987351. The reversal of 553471577987328 is 823789775174355.

553471577987328 is a `hidden beast` number, since 5 + 5 + 3 + 4 + 7 + 1 + 577 + 9 + 8 + 7 + 32 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is not an unprimeable number, because it can be changed into a prime (553471577987327) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1016807976 + ... + 1017352152.

Almost surely, 2^{553471577987328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553471577987328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1130541549244800).

553471577987328 is an abundant number, since it is smaller than the sum of its proper divisors (1707611520502272).

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

553471577987328 is a wasteful number, since it uses less digits than its factorization.

553471577987328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 544250 (or 544213 counting only the distinct ones).

The product of its digits is 12446784000, while the sum is 81.

The spelling of 553471577987328 in words is "five hundred fifty-three trillion, four hundred seventy-one billion, five hundred seventy-seven million, nine hundred eighty-seven thousand, three hundred twenty-eight".