541923648000 has 640 divisors, whose sum is σ = 2125742800896. Its totient is φ = 119863296000.

The previous prime is 541923647989. The next prime is 541923648011. The reversal of 541923648000 is 846329145.

It is an interprime number because it is at equal distance from previous prime (541923647989) and next prime (541923648011).

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41657497 + ... + 41670503.

Almost surely, 2^541923648000 is an apocalyptic number.

541923648000 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 541923648000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1062871400448).

541923648000 is an abundant number, since it is smaller than the sum of its proper divisors (1583819152896).

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

541923648000 is a wasteful number, since it uses less digits than its factorization.

541923648000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13081 (or 13055 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 541923648000 in words is "five hundred forty-one billion, nine hundred twenty-three million, six hundred forty-eight thousand".