5028563904000 has 1600 divisors, whose sum is σ = 20857319188992. Its totient is φ = 1052872704000.

The previous prime is 5028563903983. The next prime is 5028563904029. The reversal of 5028563904000 is 4093658205.

It is a tau number, because it is divible by the number of its divisors (1600).

It is a super-2 number, since 2×5028563904000² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 38385983935 + ... + 38385984065.

Almost surely, 2^{5028563904000} is an apocalyptic number.

5028563904000 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 5028563904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10428659594496).

5028563904000 is an abundant number, since it is smaller than the sum of its proper divisors (15828755284992).

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

5028563904000 is an frugal number, since it uses more digits than its factorization.

5028563904000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 226 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

The spelling of 5028563904000 in words is "five trillion, twenty-eight billion, five hundred sixty-three million, nine hundred four thousand".