5420978808000 has 896 divisors, whose sum is σ = 20679117668352. Its totient is φ = 1225728000000.

The previous prime is 5420978807971. The next prime is 5420978808013. The reversal of 5420978808000 is 8088790245.

It is a happy number.

It is a super-2 number, since 2×5420978808000² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7733207650 + ... + 7733208350.

Almost surely, 2^{5420978808000} is an apocalyptic number.

5420978808000 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 5420978808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10339558834176).

5420978808000 is an abundant number, since it is smaller than the sum of its proper divisors (15258138860352).

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

5420978808000 is a wasteful number, since it uses less digits than its factorization.

5420978808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1170 (or 1150 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 51.

The spelling of 5420978808000 in words is "five trillion, four hundred twenty billion, nine hundred seventy-eight million, eight hundred eight thousand".