553905911034 has 256 divisors, whose sum is σ = 1559777280000. Its totient is φ = 145090128960.

The previous prime is 553905911017. The next prime is 553905911063. The reversal of 553905911034 is 430119509355.

553905911034 is a `hidden beast` number, since 5 + 53 + 9 + 0 + 591 + 1 + 0 + 3 + 4 = 666.

It is a super-4 number, since 4×553905911034⁴ (a number of 48 digits) contains 4444 as substring.

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, 10884072 + ... + 10934844.

It is an arithmetic number, because the mean of its divisors is an integer number (6092880000).

Almost surely, 2^553905911034 is an apocalyptic number.

553905911034 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 553905911034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (779888640000).

553905911034 is an abundant number, since it is smaller than the sum of its proper divisors (1005871368966).

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

553905911034 is a wasteful number, since it uses less digits than its factorization.

553905911034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50855 (or 50835 counting only the distinct ones).

The product of its (nonzero) digits is 364500, while the sum is 45.

The spelling of 553905911034 in words is "five hundred fifty-three billion, nine hundred five million, nine hundred eleven thousand, thirty-four".