5155756320 has 384 divisors, whose sum is σ = 19703513088. Its totient is φ = 1116057600.

The previous prime is 5155756297. The next prime is 5155756349. The reversal of 5155756320 is 236575515.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2126629 + ... + 2129051.

It is an arithmetic number, because the mean of its divisors is an integer number (51311232).

Almost surely, 2^5155756320 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5155756320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9851756544).

5155756320 is an abundant number, since it is smaller than the sum of its proper divisors (14547756768).

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

5155756320 is a wasteful number, since it uses less digits than its factorization.

5155756320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2496 (or 2488 counting only the distinct ones).

The product of its (nonzero) digits is 157500, while the sum is 39.

The square root of 5155756320 is about 71803.5954531526. The cubic root of 5155756320 is about 1727.5506697796.

The spelling of 5155756320 in words is "five billion, one hundred fifty-five million, seven hundred fifty-six thousand, three hundred twenty".