5789491671600 has 2880 divisors, whose sum is σ = 26809068109824. Its totient is φ = 1123801620480.

The previous prime is 5789491671569. The next prime is 5789491671611. The reversal of 5789491671600 is 61761949875.

5789491671600 is a `hidden beast` number, since 5 + 7 + 8 + 9 + 4 + 9 + 16 + 7 + 1 + 600 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 34667614717 + ... + 34667614883.

Almost surely, 2^{5789491671600} is an apocalyptic number.

5789491671600 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 5789491671600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13404534054912).

5789491671600 is an abundant number, since it is smaller than the sum of its proper divisors (21019576438224).

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

5789491671600 is a wasteful number, since it uses less digits than its factorization.

5789491671600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 384 (or 370 counting only the distinct ones).

The product of its (nonzero) digits is 22861440, while the sum is 63.

The spelling of 5789491671600 in words is "five trillion, seven hundred eighty-nine billion, four hundred ninety-one million, six hundred seventy-one thousand, six hundred".