5750259900 has 576 divisors, whose sum is σ = 22078586880. Its totient is φ = 1120204800.

The previous prime is 5750259887. The next prime is 5750259901. The reversal of 5750259900 is 99520575.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5750259901) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 41972632 + ... + 41972768.

It is an arithmetic number, because the mean of its divisors is an integer number (38330880).

Almost surely, 2^5750259900 is an apocalyptic number.

5750259900 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 5750259900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039293440).

5750259900 is an abundant number, since it is smaller than the sum of its proper divisors (16328326980).

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

5750259900 is a wasteful number, since it uses less digits than its factorization.

5750259900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 141750, while the sum is 42.

The square root of 5750259900 is about 75830.4681510012. The cubic root of 5750259900 is about 1791.5509273953.

The spelling of 5750259900 in words is "five billion, seven hundred fifty million, two hundred fifty-nine thousand, nine hundred".