553242122058240 has 1920 divisors, whose sum is σ = 2198416939310592. Its totient is φ = 132630561423360.

The previous prime is 553242122058151. The next prime is 553242122058253. The reversal of 553242122058240 is 42850221242355.

553242122058240 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 4 + 2 + 1 + 2 + 20 + 582 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 265853974000 + ... + 265853976080.

Almost surely, 2^{553242122058240} 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 553242122058240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1099208469655296).

553242122058240 is an abundant number, since it is smaller than the sum of its proper divisors (1645174817252352).

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

553242122058240 is a wasteful number, since it uses less digits than its factorization.

553242122058240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3252 (or 3224 counting only the distinct ones).

The product of its (nonzero) digits is 1536000, while the sum is 45.

The spelling of 553242122058240 in words is "five hundred fifty-three trillion, two hundred forty-two billion, one hundred twenty-two million, fifty-eight thousand, two hundred forty".