459180053550 has 288 divisors, whose sum is σ = 1330594836480. Its totient is φ = 117589449600.

The previous prime is 459180053533. The next prime is 459180053581. The reversal of 459180053550 is 55350081954.

459180053550 is a `hidden beast` number, since 4 + 5 + 91 + 8 + 0 + 0 + 5 + 3 + 550 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 459180053496 and 459180053505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 67295439 + ... + 67302261.

It is an arithmetic number, because the mean of its divisors is an integer number (4620120960).

Almost surely, 2^459180053550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 459180053550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (665297418240).

459180053550 is an abundant number, since it is smaller than the sum of its proper divisors (871414782930).

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

459180053550 is a wasteful number, since it uses less digits than its factorization.

459180053550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7070 (or 7053 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 459180053550 in words is "four hundred fifty-nine billion, one hundred eighty million, fifty-three thousand, five hundred fifty".