541653662550 has 1152 divisors, whose sum is σ = 1953378975744. Its totient is φ = 96307200000.

The previous prime is 541653662531. The next prime is 541653662609. The reversal of 541653662550 is 55266356145.

It is a self number, because there is not a number n which added to its sum of digits gives 541653662550.

It is a congruent number.

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 575 ways as a sum of consecutive naturals, for example, 2835882955 + ... + 2835883145.

It is an arithmetic number, because the mean of its divisors is an integer number (1695641472).

Almost surely, 2^541653662550 is an apocalyptic number.

541653662550 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 541653662550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (976689487872).

541653662550 is an abundant number, since it is smaller than the sum of its proper divisors (1411725313194).

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

541653662550 is a wasteful number, since it uses less digits than its factorization.

541653662550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 366 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 48.

The spelling of 541653662550 in words is "five hundred forty-one billion, six hundred fifty-three million, six hundred sixty-two thousand, five hundred fifty".