5038520801400 has 576 divisors, whose sum is σ = 18334659096000. Its totient is φ = 1236178944000.

The previous prime is 5038520801323. The next prime is 5038520801453. The reversal of 5038520801400 is 41080258305.

It is a happy number.

5038520801400 is a `hidden beast` number, since 50 + 3 + 8 + 520 + 80 + 1 + 4 + 0 + 0 = 666.

It is a super-2 number, since 2×5038520801400² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 322953600 + ... + 322969200.

It is an arithmetic number, because the mean of its divisors is an integer number (31831005375).

Almost surely, 2^{5038520801400} is an apocalyptic number.

5038520801400 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 5038520801400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9167329548000).

5038520801400 is an abundant number, since it is smaller than the sum of its proper divisors (13296138294600).

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

5038520801400 is a wasteful number, since it uses less digits than its factorization.

5038520801400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15944 (or 15932 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 5038520801400 in words is "five trillion, thirty-eight billion, five hundred twenty million, eight hundred one thousand, four hundred".