5773345502400 has 2520 divisors, whose sum is σ = 26458359681600. Its totient is φ = 1227463372800.

The previous prime is 5773345502387. The next prime is 5773345502413. The reversal of 5773345502400 is 42055433775.

5773345502400 is a `hidden beast` number, since 5 + 7 + 73 + 3 + 4 + 550 + 24 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5773345502387) and next prime (5773345502413).

It is a tau number, because it is divible by the number of its divisors (2520).

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

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 7118797995 + ... + 7118798805.

It is an arithmetic number, because the mean of its divisors is an integer number (10499349080).

Almost surely, 2^{5773345502400} is an apocalyptic number.

5773345502400 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 5773345502400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13229179840800).

5773345502400 is an abundant number, since it is smaller than the sum of its proper divisors (20685014179200).

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

5773345502400 is a wasteful number, since it uses less digits than its factorization.

5773345502400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 937 (or 906 counting only the distinct ones).

The product of its (nonzero) digits is 1764000, while the sum is 45.

The spelling of 5773345502400 in words is "five trillion, seven hundred seventy-three billion, three hundred forty-five million, five hundred two thousand, four hundred".