5461825824000 has 5184 divisors, whose sum is σ = 27527258723328. Its totient is φ = 1012137984000.

The previous prime is 5461825823989. The next prime is 5461825824001. The reversal of 5461825824000 is 4285281645.

5461825824000 is a `hidden beast` number, since 5 + 4 + 61 + 8 + 2 + 582 + 4 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5461825824001) by changing a digit.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 133215263980 + ... + 133215264020.

It is an arithmetic number, because the mean of its divisors is an integer number (5310042192).

Almost surely, 2^{5461825824000} is an apocalyptic number.

5461825824000 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 5461825824000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13763629361664).

5461825824000 is an abundant number, since it is smaller than the sum of its proper divisors (22065432899328).

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

5461825824000 is a wasteful number, since it uses less digits than its factorization.

5461825824000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 45.

The spelling of 5461825824000 in words is "five trillion, four hundred sixty-one billion, eight hundred twenty-five million, eight hundred twenty-four thousand".