5035376102400 has 2112 divisors, whose sum is σ = 21955106688000. Its totient is φ = 1130188308480.

The previous prime is 5035376102347. The next prime is 5035376102417. The reversal of 5035376102400 is 42016735305.

5035376102400 is a `hidden beast` number, since 5 + 0 + 3 + 5 + 37 + 610 + 2 + 4 + 0 + 0 = 666.

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

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 15884467042 + ... + 15884467358.

Almost surely, 2^{5035376102400} is an apocalyptic number.

5035376102400 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 5035376102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10977553344000).

5035376102400 is an abundant number, since it is smaller than the sum of its proper divisors (16919730585600).

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

5035376102400 is a wasteful number, since it uses less digits than its factorization.

5035376102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 444 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 36.

The spelling of 5035376102400 in words is "five trillion, thirty-five billion, three hundred seventy-six million, one hundred two thousand, four hundred".