5751505382400 has 792 divisors, whose sum is σ = 21952669939200. Its totient is φ = 1434533068800.

The previous prime is 5751505382383. The next prime is 5751505382423. The reversal of 5751505382400 is 42835051575.

5751505382400 is a `hidden beast` number, since 5 + 7 + 515 + 0 + 53 + 82 + 4 + 0 + 0 = 666.

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 71 ways as a sum of consecutive naturals, for example, 345822085 + ... + 345838715.

It is an arithmetic number, because the mean of its divisors is an integer number (27718017600).

Almost surely, 2^{5751505382400} is an apocalyptic number.

5751505382400 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 5751505382400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10976334969600).

5751505382400 is an abundant number, since it is smaller than the sum of its proper divisors (16201164556800).

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

5751505382400 is a wasteful number, since it uses less digits than its factorization.

5751505382400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16765 (or 16739 counting only the distinct ones).

The product of its (nonzero) digits is 840000, while the sum is 45.

The spelling of 5751505382400 in words is "five trillion, seven hundred fifty-one billion, five hundred five million, three hundred eighty-two thousand, four hundred".