5168149920 has 240 divisors, whose sum is σ = 18405885960. Its totient is φ = 1365590016.

The previous prime is 5168149913. The next prime is 5168149951. The reversal of 5168149920 is 299418615.

5168149920 is a `hidden beast` number, since 516 + 8 + 1 + 49 + 92 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1382947344 + 3785202576 = 37188^2 + 61524^2 .

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 (45).

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, 1462716 + ... + 1466244.

Almost surely, 2^5168149920 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 5168149920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9202942980).

5168149920 is an abundant number, since it is smaller than the sum of its proper divisors (13237736040).

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

5168149920 is a wasteful number, since it uses less digits than its factorization.

5168149920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3669 (or 3652 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The square root of 5168149920 is about 71889.8457363764. The cubic root of 5168149920 is about 1728.9338124059.

The spelling of 5168149920 in words is "five billion, one hundred sixty-eight million, one hundred forty-nine thousand, nine hundred twenty".