5421459888000 has 1152 divisors, whose sum is σ = 21391301655360. Its totient is φ = 1308063744000.

The previous prime is 5421459887953. The next prime is 5421459888007. The reversal of 5421459888000 is 8889541245.

5421459888000 is a `hidden beast` number, since 5 + 42 + 1 + 4 + 598 + 8 + 8 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5421459888007) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 5258447485 + ... + 5258448515.

Almost surely, 2^{5421459888000} is an apocalyptic number.

5421459888000 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 5421459888000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10695650827680).

5421459888000 is an abundant number, since it is smaller than the sum of its proper divisors (15969841767360).

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

5421459888000 is a wasteful number, since it uses less digits than its factorization.

5421459888000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1185 (or 1107 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 5421459888000 in words is "five trillion, four hundred twenty-one billion, four hundred fifty-nine million, eight hundred eighty-eight thousand".