5735039576400 has 720 divisors, whose sum is σ = 22626918748800. Its totient is φ = 1376783400960.

The previous prime is 5735039576381. The next prime is 5735039576401. The reversal of 5735039576400 is 46759305375.

5735039576400 is a `hidden beast` number, since 5 + 7 + 3 + 503 + 95 + 7 + 6 + 40 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5735039576401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 71747656 + ... + 71827544.

It is an arithmetic number, because the mean of its divisors is an integer number (31426276040).

Almost surely, 2^{5735039576400} is an apocalyptic number.

5735039576400 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 5735039576400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11313459374400).

5735039576400 is an abundant number, since it is smaller than the sum of its proper divisors (16891879172400).

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

5735039576400 is a wasteful number, since it uses less digits than its factorization.

5735039576400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79973 (or 79939 counting only the distinct ones).

The product of its (nonzero) digits is 11907000, while the sum is 54.

The spelling of 5735039576400 in words is "five trillion, seven hundred thirty-five billion, thirty-nine million, five hundred seventy-six thousand, four hundred".