5756013900 has 864 divisors, whose sum is σ = 24416770560. Its totient is φ = 1142138880.

The previous prime is 5756013859. The next prime is 5756013929. The reversal of 5756013900 is 93106575.

It is a happy number.

5756013900 is a `hidden beast` number, since 5 + 7 + 560 + 1 + 3 + 90 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 42014632 + ... + 42014768.

Almost surely, 2^5756013900 is an apocalyptic number.

5756013900 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 5756013900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12208385280).

5756013900 is an abundant number, since it is smaller than the sum of its proper divisors (18660756660).

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

5756013900 is a wasteful number, since it uses less digits than its factorization.

5756013900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 186 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 5756013900 is about 75868.3985596111. The cubic root of 5756013900 is about 1792.1483002501.

The spelling of 5756013900 in words is "five billion, seven hundred fifty-six million, thirteen thousand, nine hundred".