5035820734800 has 360 divisors, whose sum is σ = 18240634721088. Its totient is φ = 1284138240000.

The previous prime is 5035820734757. The next prime is 5035820734801. The reversal of 5035820734800 is 84370285305.

5035820734800 is a `hidden beast` number, since 50 + 3 + 58 + 2 + 0 + 73 + 480 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5035820734800² (a number of 26 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5035820734801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 418216780 + ... + 418228820.

Almost surely, 2^{5035820734800} is an apocalyptic number.

5035820734800 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 5035820734800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120317360544).

5035820734800 is an abundant number, since it is smaller than the sum of its proper divisors (13204813986288).

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

5035820734800 is a wasteful number, since it uses less digits than its factorization.

5035820734800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17139 (or 17125 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 45.

The spelling of 5035820734800 in words is "five trillion, thirty-five billion, eight hundred twenty million, seven hundred thirty-four thousand, eight hundred".