5758478100 has 216 divisors, whose sum is σ = 18350492160. Its totient is φ = 1510272000.

The previous prime is 5758478081. The next prime is 5758478107. The reversal of 5758478100 is 18748575.

It is a happy number.

5758478100 is a `hidden beast` number, since 5 + 75 + 8 + 478 + 100 = 666.

It is a super-2 number, since 2×5758478100² = 66320140056359220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5758478107) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 23893980 + ... + 23894220.

Almost surely, 2^5758478100 is an apocalyptic number.

5758478100 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 5758478100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9175246080).

5758478100 is an abundant number, since it is smaller than the sum of its proper divisors (12592014060).

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

5758478100 is a wasteful number, since it uses less digits than its factorization.

5758478100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 581 counting only the distinct ones).

The product of its (nonzero) digits is 313600, while the sum is 45.

The square root of 5758478100 is about 75884.6367850568. The cubic root of 5758478100 is about 1792.4040085615.

The spelling of 5758478100 in words is "five billion, seven hundred fifty-eight million, four hundred seventy-eight thousand, one hundred".