5905080374400 has 288 divisors, whose sum is σ = 21087234951120. Its totient is φ = 1573450905600.

The previous prime is 5905080374383. The next prime is 5905080374489. The reversal of 5905080374400 is 44730805095.

5905080374400 is a `hidden beast` number, since 5 + 90 + 50 + 80 + 37 + 4 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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 35 ways as a sum of consecutive naturals, for example, 36870495 + ... + 37030305.

Almost surely, 2^{5905080374400} is an apocalyptic number.

5905080374400 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 5905080374400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10543617475560).

5905080374400 is an abundant number, since it is smaller than the sum of its proper divisors (15182154576720).

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

5905080374400 is a wasteful number, since it uses less digits than its factorization.

5905080374400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161124 (or 161104 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 5905080374400 in words is "five trillion, nine hundred five billion, eighty million, three hundred seventy-four thousand, four hundred".