553475268000 has 288 divisors, whose sum is σ = 2037038552640. Its totient is φ = 147593145600.

The previous prime is 553475267981. The next prime is 553475268007. The reversal of 553475268000 is 862574355.

553475268000 is a `hidden beast` number, since 5 + 5 + 3 + 47 + 526 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (553475268007) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 687291 + ... + 1256709.

It is an arithmetic number, because the mean of its divisors is an integer number (7073050530).

Almost surely, 2^553475268000 is an apocalyptic number.

553475268000 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 553475268000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1018519276320).

553475268000 is an abundant number, since it is smaller than the sum of its proper divisors (1483563284640).

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

553475268000 is an equidigital number, since it uses as much as digits as its factorization.

553475268000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569459 (or 569429 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The spelling of 553475268000 in words is "five hundred fifty-three billion, four hundred seventy-five million, two hundred sixty-eight thousand".