553512960 has 832 divisors, whose sum is σ = 2642088960. Its totient is φ = 106168320.

The previous prime is 553512931. The next prime is 553513001. The reversal of 553512960 is 69215355.

553512960 is a `hidden beast` number, since 5 + 53 + 512 + 96 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 42577914 + ... + 42577926.

Almost surely, 2^553512960 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 553512960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1321044480).

553512960 is an abundant number, since it is smaller than the sum of its proper divisors (2088576000).

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

553512960 is a wasteful number, since it uses less digits than its factorization.

553512960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 40500, while the sum is 36.

The square root of 553512960 is about 23526.8561435650. The cubic root of 553512960 is about 821.0619594082.

It can be divided in two parts, 55351 and 2960, that added together give a triangular number (58311 = T₃₄₁).

The spelling of 553512960 in words is "five hundred fifty-three million, five hundred twelve thousand, nine hundred sixty".