5674516585920 has 2240 divisors, whose sum is σ = 26383285125120. Its totient is φ = 1124187144192.

The previous prime is 5674516585897. The next prime is 5674516585931. The reversal of 5674516585920 is 295856154765.

5674516585920 is a `hidden beast` number, since 5 + 6 + 7 + 45 + 1 + 6 + 585 + 9 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2240).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 5691590862 + ... + 5691591858.

It is an arithmetic number, because the mean of its divisors is an integer number (11778252288).

Almost surely, 2^{5674516585920} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5674516585920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13191642562560).

5674516585920 is an abundant number, since it is smaller than the sum of its proper divisors (20708768539200).

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

5674516585920 is a wasteful number, since it uses less digits than its factorization.

5674516585920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1192 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 5674516585920 in words is "five trillion, six hundred seventy-four billion, five hundred sixteen million, five hundred eighty-five thousand, nine hundred twenty".