541063618560 has 1120 divisors, whose sum is σ = 2104106436432. Its totient is φ = 132498063360.

The previous prime is 541063618547. The next prime is 541063618603. The reversal of 541063618560 is 65816360145.

541063618560 is a `hidden beast` number, since 5 + 4 + 1 + 0 + 636 + 1 + 8 + 5 + 6 + 0 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 191129849856 + 349933768704 = 437184^2 + 591552^2 .

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 79 ways as a sum of consecutive naturals, for example, 2989301670 + ... + 2989301850.

Almost surely, 2^541063618560 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 541063618560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1052053218216).

541063618560 is an abundant number, since it is smaller than the sum of its proper divisors (1563042817872).

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

541063618560 is a wasteful number, since it uses less digits than its factorization.

541063618560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 541063618560 in words is "five hundred forty-one billion, sixty-three million, six hundred eighteen thousand, five hundred sixty".