553133151510240 has 768 divisors, whose sum is σ = 2005569526947840. Its totient is φ = 125527449600000.

The previous prime is 553133151510229. The next prime is 553133151510293. The reversal of 553133151510240 is 42015151331355.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 587814188170 + ... + 587814189110.

It is an arithmetic number, because the mean of its divisors is an integer number (2611418654880).

Almost surely, 2^{553133151510240} 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 553133151510240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1002784763473920).

553133151510240 is an abundant number, since it is smaller than the sum of its proper divisors (1452436375437600).

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

553133151510240 is a wasteful number, since it uses less digits than its factorization.

553133151510240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2827 (or 2819 counting only the distinct ones).

The product of its (nonzero) digits is 135000, while the sum is 39.

The spelling of 553133151510240 in words is "five hundred fifty-three trillion, one hundred thirty-three billion, one hundred fifty-one million, five hundred ten thousand, two hundred forty".