5048415590400 has 3240 divisors, whose sum is σ = 23685425012340. Its totient is φ = 1065160212480.

The previous prime is 5048415590321. The next prime is 5048415590489. The reversal of 5048415590400 is 40955148405.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

5048415590400 is a `hidden beast` number, since 5 + 0 + 4 + 8 + 4 + 15 + 590 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3240).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 269 ways as a sum of consecutive naturals, for example, 388339660794 + ... + 388339660806.

Almost surely, 2^{5048415590400} is an apocalyptic number.

5048415590400 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 5048415590400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11842712506170).

5048415590400 is an abundant number, since it is smaller than the sum of its proper divisors (18637009421940).

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

5048415590400 is an frugal number, since it uses more digits than its factorization.

5048415590400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 5048415590400 in words is "five trillion, forty-eight billion, four hundred fifteen million, five hundred ninety thousand, four hundred".