553035479040 has 1536 divisors, whose sum is σ = 2262106828800. Its totient is φ = 126977310720.

The previous prime is 553035479011. The next prime is 553035479047. The reversal of 553035479040 is 40974530355.

553035479040 is a `hidden beast` number, since 5 + 530 + 3 + 5 + 4 + 79 + 0 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (1536).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (553035479047) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7575828444 + ... + 7575828516.

It is an arithmetic number, because the mean of its divisors is an integer number (1472725800).

Almost surely, 2^553035479040 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 553035479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1131053414400).

553035479040 is an abundant number, since it is smaller than the sum of its proper divisors (1709071349760).

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

553035479040 is a wasteful number, since it uses less digits than its factorization.

553035479040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 45.

The spelling of 553035479040 in words is "five hundred fifty-three billion, thirty-five million, four hundred seventy-nine thousand, forty".