5754356401200 has 480 divisors, whose sum is σ = 20934986146560. Its totient is φ = 1338299289600.

The previous prime is 5754356401159. The next prime is 5754356401217. The reversal of 5754356401200 is 21046534575.

It is a super-2 number, since 2×5754356401200² (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 60051727 + ... + 60147473.

It is an arithmetic number, because the mean of its divisors is an integer number (43614554472).

Almost surely, 2^{5754356401200} is an apocalyptic number.

5754356401200 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 5754356401200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10467493073280).

5754356401200 is an abundant number, since it is smaller than the sum of its proper divisors (15180629745360).

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

5754356401200 is a wasteful number, since it uses less digits than its factorization.

5754356401200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95965 (or 95954 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 42.

The spelling of 5754356401200 in words is "five trillion, seven hundred fifty-four billion, three hundred fifty-six million, four hundred one thousand, two hundred".