5181945120 has 576 divisors, whose sum is σ = 20356697088. Its totient is φ = 1188864000.

The previous prime is 5181945101. The next prime is 5181945137. The reversal of 5181945120 is 215491815.

5181945120 is a `hidden beast` number, since 5 + 181 + 9 + 451 + 20 = 666.

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 95 ways as a sum of consecutive naturals, for example, 29953354 + ... + 29953526.

It is an arithmetic number, because the mean of its divisors is an integer number (35341488).

Almost surely, 2^5181945120 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 5181945120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10178348544).

5181945120 is an abundant number, since it is smaller than the sum of its proper divisors (15174751968).

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

5181945120 is a wasteful number, since it uses less digits than its factorization.

5181945120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 36.

The square root of 5181945120 is about 71985.7285856023. The cubic root of 5181945120 is about 1730.4707774654.

The spelling of 5181945120 in words is "five billion, one hundred eighty-one million, nine hundred forty-five thousand, one hundred twenty".