5131861920 has 240 divisors, whose sum is σ = 18178110720. Its totient is φ = 1363447296.

The previous prime is 5131861909. The next prime is 5131861957. The reversal of 5131861920 is 291681315.

5131861920 is a `hidden beast` number, since 5 + 1 + 3 + 18 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 4652089 + ... + 4653191.

It is an arithmetic number, because the mean of its divisors is an integer number (75742128).

Almost surely, 2^5131861920 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 5131861920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9089055360).

5131861920 is an abundant number, since it is smaller than the sum of its proper divisors (13046248800).

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

5131861920 is a wasteful number, since it uses less digits than its factorization.

5131861920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489 (or 1472 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 36.

The square root of 5131861920 is about 71637.0150131899. The cubic root of 5131861920 is about 1724.8777531516.

The spelling of 5131861920 in words is "five billion, one hundred thirty-one million, eight hundred sixty-one thousand, nine hundred twenty".