541353922560 has 1872 divisors, whose sum is σ = 2284085905920. Its totient is φ = 122624409600.

The previous prime is 541353922553. The next prime is 541353922573. The reversal of 541353922560 is 65229353145.

541353922560 is a `hidden beast` number, since 5 + 4 + 1 + 3 + 5 + 392 + 256 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 17463029745 + ... + 17463029775.

It is an arithmetic number, because the mean of its divisors is an integer number (1220131360).

Almost surely, 2^541353922560 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 541353922560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1142042952960).

541353922560 is an abundant number, since it is smaller than the sum of its proper divisors (1742731983360).

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

541353922560 is a wasteful number, since it uses less digits than its factorization.

541353922560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126 (or 81 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 541353922560 in words is "five hundred forty-one billion, three hundred fifty-three million, nine hundred twenty-two thousand, five hundred sixty".