553132511712 has 216 divisors, whose sum is σ = 1769181005592. Its totient is φ = 163717424640.

The previous prime is 553132511671. The next prime is 553132511713. The reversal of 553132511712 is 217115231355.

553132511712 is a `hidden beast` number, since 5 + 5 + 3 + 132 + 511 + 7 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553132511713) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1313898 + ... + 1683030.

Almost surely, 2^553132511712 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 553132511712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (884590502796).

553132511712 is an abundant number, since it is smaller than the sum of its proper divisors (1216048493880).

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

553132511712 is a wasteful number, since it uses less digits than its factorization.

553132511712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 369214 (or 369192 counting only the distinct ones).

The product of its digits is 31500, while the sum is 36.

The spelling of 553132511712 in words is "five hundred fifty-three billion, one hundred thirty-two million, five hundred eleven thousand, seven hundred twelve".