5773010400 has 288 divisors, whose sum is σ = 20984594400. Its totient is φ = 1531699200.

The previous prime is 5773010381. The next prime is 5773010437. The reversal of 5773010400 is 40103775.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×5773010400³ (a number of 30 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5205046 + ... + 5206154.

It is an arithmetic number, because the mean of its divisors is an integer number (72863175).

Almost surely, 2^5773010400 is an apocalyptic number.

5773010400 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 5773010400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10492297200).

5773010400 is an abundant number, since it is smaller than the sum of its proper divisors (15211584000).

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

5773010400 is a wasteful number, since it uses less digits than its factorization.

5773010400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1379 (or 1360 counting only the distinct ones).

The product of its (nonzero) digits is 2940, while the sum is 27.

The square root of 5773010400 is about 75980.3290332439. The cubic root of 5773010400 is about 1793.9105334518.

The spelling of 5773010400 in words is "five billion, seven hundred seventy-three million, ten thousand, four hundred".