541968537600 has 1728 divisors, whose sum is σ = 2365848576000. Its totient is φ = 122903101440.

The previous prime is 541968537521. The next prime is 541968537613. The reversal of 541968537600 is 6735869145.

541968537600 is a `hidden beast` number, since 5 + 4 + 196 + 85 + 376 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a super-2 number, since 2×541968537600² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 4267468737 + ... + 4267468863.

Almost surely, 2^541968537600 is an apocalyptic number.

541968537600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 541968537600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1182924288000).

541968537600 is an abundant number, since it is smaller than the sum of its proper divisors (1823880038400).

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

541968537600 is an equidigital number, since it uses as much as digits as its factorization.

541968537600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 144 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 541968537600 in words is "five hundred forty-one billion, nine hundred sixty-eight million, five hundred thirty-seven thousand, six hundred".