5785801920 has 224 divisors, whose sum is σ = 20910133440. Its totient is φ = 1505157120.

The previous prime is 5785801907. The next prime is 5785801939. The reversal of 5785801920 is 291085875.

It is a happy number.

5785801920 is a `hidden beast` number, since 57 + 8 + 580 + 19 + 2 + 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 31 ways as a sum of consecutive naturals, for example, 346074 + ... + 362406.

It is an arithmetic number, because the mean of its divisors is an integer number (93348810).

Almost surely, 2^5785801920 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 5785801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10455066720).

5785801920 is an abundant number, since it is smaller than the sum of its proper divisors (15124331520).

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

5785801920 is a wasteful number, since it uses less digits than its factorization.

5785801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16400 (or 16384 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 45.

The square root of 5785801920 is about 76064.4589805252. The cubic root of 5785801920 is about 1795.2345056138.

The spelling of 5785801920 in words is "five billion, seven hundred eighty-five million, eight hundred one thousand, nine hundred twenty".