541519664640 has 320 divisors, whose sum is σ = 1837667113920. Its totient is φ = 135565148160.

The previous prime is 541519664633. The next prime is 541519664663. The reversal of 541519664640 is 46466915145.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 53393970 + ... + 53404110.

It is an arithmetic number, because the mean of its divisors is an integer number (5742709731).

Almost surely, 2^541519664640 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 541519664640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (918833556960).

541519664640 is an abundant number, since it is smaller than the sum of its proper divisors (1296147449280).

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

541519664640 is a wasteful number, since it uses less digits than its factorization.

541519664640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10593 (or 10577 counting only the distinct ones).

The product of its (nonzero) digits is 3110400, while the sum is 51.

The spelling of 541519664640 in words is "five hundred forty-one billion, five hundred nineteen million, six hundred sixty-four thousand, six hundred forty".