5192161920 has 576 divisors, whose sum is σ = 20733654240. Its totient is φ = 1187205120.

The previous prime is 5192161867. The next prime is 5192161927. The reversal of 5192161920 is 291612915.

5192161920 is a `hidden beast` number, since 5 + 19 + 2 + 1 + 619 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (5192161927) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22872847 + ... + 22873073.

Almost surely, 2^5192161920 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 5192161920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10366827120).

5192161920 is an abundant number, since it is smaller than the sum of its proper divisors (15541492320).

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

5192161920 is a wasteful number, since it uses less digits than its factorization.

5192161920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 301 (or 267 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 36.

The square root of 5192161920 is about 72056.6577076678. The cubic root of 5192161920 is about 1731.6073048272.

The spelling of 5192161920 in words is "five billion, one hundred ninety-two million, one hundred sixty-one thousand, nine hundred twenty".