5085552740400 has 1920 divisors, whose sum is σ = 22334513356800. Its totient is φ = 1083801600000.

The previous prime is 5085552740311. The next prime is 5085552740413. The reversal of 5085552740400 is 40472555805.

5085552740400 is a `hidden beast` number, since 5 + 0 + 85 + 5 + 527 + 4 + 0 + 40 + 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 pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 1815619000 + ... + 1815621800.

It is an arithmetic number, because the mean of its divisors is an integer number (11632559040).

Almost surely, 2^{5085552740400} is an apocalyptic number.

5085552740400 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 5085552740400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11167256678400).

5085552740400 is an abundant number, since it is smaller than the sum of its proper divisors (17248960616400).

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

5085552740400 is a wasteful number, since it uses less digits than its factorization.

5085552740400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2916 (or 2899 counting only the distinct ones).

The product of its (nonzero) digits is 1120000, while the sum is 45.

The spelling of 5085552740400 in words is "five trillion, eighty-five billion, five hundred fifty-two million, seven hundred forty thousand, four hundred".