5758193750400 has 1536 divisors, whose sum is σ = 26178324480000. Its totient is φ = 1203590430720.

The previous prime is 5758193750377. The next prime is 5758193750431. The reversal of 5758193750400 is 40573918575.

5758193750400 is a `hidden beast` number, since 5 + 7 + 5 + 81 + 93 + 75 + 0 + 400 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 856998241 + ... + 857004959.

It is an arithmetic number, because the mean of its divisors is an integer number (17043180000).

Almost surely, 2^{5758193750400} is an apocalyptic number.

5758193750400 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 5758193750400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13089162240000).

5758193750400 is an abundant number, since it is smaller than the sum of its proper divisors (20420130729600).

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

5758193750400 is a wasteful number, since it uses less digits than its factorization.

5758193750400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6881 (or 6858 counting only the distinct ones).

The product of its (nonzero) digits is 5292000, while the sum is 54.

The spelling of 5758193750400 in words is "five trillion, seven hundred fifty-eight billion, one hundred ninety-three million, seven hundred fifty thousand, four hundred".