5384977038000 has 1600 divisors, whose sum is σ = 22649750323200. Its totient is φ = 1207867852800.

The previous prime is 5384977037983. The next prime is 5384977038031. The reversal of 5384977038000 is 8307794835.

5384977038000 is a `hidden beast` number, since 5 + 3 + 8 + 497 + 70 + 3 + 80 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 20018501866 + ... + 20018502134.

It is an arithmetic number, because the mean of its divisors is an integer number (14156093952).

Almost surely, 2^{5384977038000} is an apocalyptic number.

5384977038000 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 5384977038000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11324875161600).

5384977038000 is an abundant number, since it is smaller than the sum of its proper divisors (17264773285200).

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

5384977038000 is a wasteful number, since it uses less digits than its factorization.

5384977038000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 552 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 5384977038000 in words is "five trillion, three hundred eighty-four billion, nine hundred seventy-seven million, thirty-eight thousand".