5783468802048 has 1056 divisors, whose sum is σ = 20513567915370. Its totient is φ = 1625330810880.

The previous prime is 5783468802037. The next prime is 5783468802049. The reversal of 5783468802048 is 8402088643875.

5783468802048 is a `hidden beast` number, since 5 + 7 + 8 + 346 + 8 + 80 + 204 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5736063320064 + 47405481984 = 2395008^2 + 217728^2 .

It is a super-2 number, since 2×5783468802048² (a number of 26 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (5783468802049) by changing a digit.

It is a polite number, since it can be written in 65 ways as a sum of consecutive naturals, for example, 94810963938 + ... + 94810963998.

Almost surely, 2^{5783468802048} 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 5783468802048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10256783957685).

5783468802048 is an abundant number, since it is smaller than the sum of its proper divisors (14730099113322).

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

5783468802048 is an frugal number, since it uses more digits than its factorization.

5783468802048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 135 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 63.

The spelling of 5783468802048 in words is "five trillion, seven hundred eighty-three billion, four hundred sixty-eight million, eight hundred two thousand, forty-eight".