5751952416 has 216 divisors, whose sum is σ = 19133494380. Its totient is φ = 1634282496.

The previous prime is 5751952387. The next prime is 5751952429. The reversal of 5751952416 is 6142591575.

It is a happy number.

5751952416 is a `hidden beast` number, since 575 + 19 + 52 + 4 + 16 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 5652032400 + 99920016 = 75180^2 + 9996^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2779030 + ... + 2781098.

Almost surely, 2^5751952416 is an apocalyptic number.

5751952416 is a gapful number since it is divisible by the number (56) 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 5751952416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9566747190).

5751952416 is an abundant number, since it is smaller than the sum of its proper divisors (13381541964).

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

5751952416 is a wasteful number, since it uses less digits than its factorization.

5751952416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2296 (or 2278 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The square root of 5751952416 is about 75841.6271977336. The cubic root of 5751952416 is about 1791.7266835762.

The spelling of 5751952416 in words is "five billion, seven hundred fifty-one million, nine hundred fifty-two thousand, four hundred sixteen".