550261153764 has 288 divisors, whose sum is σ = 1733408328960. Its totient is φ = 147845647872.

The previous prime is 550261153753. The next prime is 550261153787. The reversal of 550261153764 is 467351162055.

550261153764 is a `hidden beast` number, since 5 + 5 + 0 + 261 + 15 + 376 + 4 = 666.

550261153764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 37382134 + ... + 37396850.

It is an arithmetic number, because the mean of its divisors is an integer number (6018778920).

Almost surely, 2^550261153764 is an apocalyptic number.

550261153764 is a gapful number since it is divisible by the number (54) 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 550261153764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (866704164480).

550261153764 is an abundant number, since it is smaller than the sum of its proper divisors (1183147175196).

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

550261153764 is a wasteful number, since it uses less digits than its factorization.

550261153764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14912 (or 14885 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 550261153764 in words is "five hundred fifty billion, two hundred sixty-one million, one hundred fifty-three thousand, seven hundred sixty-four".