553142072560 has 320 divisors, whose sum is σ = 1638039158784. Its totient is φ = 168722150400.

The previous prime is 553142072533. The next prime is 553142072599. The reversal of 553142072560 is 65270241355.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54701905 + ... + 54712015.

Almost surely, 2^553142072560 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 553142072560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819019579392).

553142072560 is an abundant number, since it is smaller than the sum of its proper divisors (1084897086224).

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

553142072560 is a wasteful number, since it uses less digits than its factorization.

553142072560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10332 (or 10326 counting only the distinct ones).

The product of its (nonzero) digits is 252000, while the sum is 40.

The spelling of 553142072560 in words is "five hundred fifty-three billion, one hundred forty-two million, seventy-two thousand, five hundred sixty".