5745047100 has 576 divisors, whose sum is σ = 20252037120. Its totient is φ = 1244160000.

The previous prime is 5745047041. The next prime is 5745047123. The reversal of 5745047100 is 17405475.

It is a super-3 number, since 3×5745047100³ (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 94181070 + ... + 94181130.

Almost surely, 2^5745047100 is an apocalyptic number.

5745047100 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 5745047100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10126018560).

5745047100 is an abundant number, since it is smaller than the sum of its proper divisors (14506990020).

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

5745047100 is a wasteful number, since it uses less digits than its factorization.

5745047100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 182 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 19600, while the sum is 33.

The square root of 5745047100 is about 75796.0889492327. The cubic root of 5745047100 is about 1791.0093970821.

The spelling of 5745047100 in words is "five billion, seven hundred forty-five million, forty-seven thousand, one hundred".