541625333760 has 1728 divisors, whose sum is σ = 2328084944640. Its totient is φ = 115935805440.

The previous prime is 541625333741. The next prime is 541625333803. The reversal of 541625333760 is 67333526145.

It is a happy number.

541625333760 is a `hidden beast` number, since 5 + 4 + 1 + 6 + 253 + 337 + 60 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 7419525084 + ... + 7419525156.

It is an arithmetic number, because the mean of its divisors is an integer number (1347271380).

Almost surely, 2^541625333760 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 541625333760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1164042472320).

541625333760 is an abundant number, since it is smaller than the sum of its proper divisors (1786459610880).

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

541625333760 is a wasteful number, since it uses less digits than its factorization.

541625333760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 174 counting only the distinct ones).

The product of its (nonzero) digits is 1360800, while the sum is 45.

The spelling of 541625333760 in words is "five hundred forty-one billion, six hundred twenty-five million, three hundred thirty-three thousand, seven hundred sixty".