5825419776 has 320 divisors, whose sum is σ = 19474646400. Its totient is φ = 1703116800.

The previous prime is 5825419763. The next prime is 5825419799. The reversal of 5825419776 is 6779145285.

5825419776 is a `hidden beast` number, since 5 + 8 + 2 + 541 + 97 + 7 + 6 = 666.

It is a super-2 number, since 2×5825419776² = 67871031133223780352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 4409196 + ... + 4410516.

It is an arithmetic number, because the mean of its divisors is an integer number (60858270).

Almost surely, 2^5825419776 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 5825419776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9737323200).

5825419776 is an abundant number, since it is smaller than the sum of its proper divisors (13649226624).

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

5825419776 is a wasteful number, since it uses less digits than its factorization.

5825419776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1388 (or 1366 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 5825419776 is about 76324.4376068373. The cubic root of 5825419776 is about 1799.3227674520.

The spelling of 5825419776 in words is "five billion, eight hundred twenty-five million, four hundred nineteen thousand, seven hundred seventy-six".