5746151395200 has 1152 divisors, whose sum is σ = 21522337660800. Its totient is φ = 1343117721600.

The previous prime is 5746151395163. The next prime is 5746151395253. The reversal of 5746151395200 is 25931516475.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 5746151395200.

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 143 ways as a sum of consecutive naturals, for example, 3215528707 + ... + 3215530493.

It is an arithmetic number, because the mean of its divisors is an integer number (18682584775).

Almost surely, 2^{5746151395200} is an apocalyptic number.

5746151395200 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 5746151395200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10761168830400).

5746151395200 is an abundant number, since it is smaller than the sum of its proper divisors (15776186265600).

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

5746151395200 is a wasteful number, since it uses less digits than its factorization.

5746151395200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1928 (or 1894 counting only the distinct ones).

The product of its (nonzero) digits is 1134000, while the sum is 48.

The spelling of 5746151395200 in words is "five trillion, seven hundred forty-six billion, one hundred fifty-one million, three hundred ninety-five thousand, two hundred".