541195617520 has 80 divisors (see below), whose sum is σ = 1313331655680. Its totient is φ = 207011895552.

The previous prime is 541195617517. The next prime is 541195617569. The reversal of 541195617520 is 25716591145.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (46).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7373161 + ... + 7446199.

It is an arithmetic number, because the mean of its divisors is an integer number (16416645696).

Almost surely, 2^541195617520 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 541195617520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (656665827840).

541195617520 is an abundant number, since it is smaller than the sum of its proper divisors (772136038160).

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

541195617520 is a wasteful number, since it uses less digits than its factorization.

541195617520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77102 (or 77096 counting only the distinct ones).

The product of its (nonzero) digits is 378000, while the sum is 46.

The spelling of 541195617520 in words is "five hundred forty-one billion, one hundred ninety-five million, six hundred seventeen thousand, five hundred twenty".