5424960808800 has 2016 divisors, whose sum is σ = 22321798375968. Its totient is φ = 1278120591360.

The previous prime is 5424960808733. The next prime is 5424960808831. The reversal of 5424960808800 is 88080694245.

5424960808800 is a `hidden beast` number, since 5 + 4 + 24 + 9 + 608 + 0 + 8 + 8 + 0 + 0 = 666.

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 335 ways as a sum of consecutive naturals, for example, 23283093484 + ... + 23283093716.

It is an arithmetic number, because the mean of its divisors is an integer number (11072320623).

Almost surely, 2^{5424960808800} is an apocalyptic number.

5424960808800 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 5424960808800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11160899187984).

5424960808800 is an abundant number, since it is smaller than the sum of its proper divisors (16896837567168).

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

5424960808800 is a wasteful number, since it uses less digits than its factorization.

5424960808800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404 (or 376 counting only the distinct ones).

The product of its (nonzero) digits is 4423680, while the sum is 54.

The spelling of 5424960808800 in words is "five trillion, four hundred twenty-four billion, nine hundred sixty million, eight hundred eight thousand, eight hundred".