5195164324140 has 1152 divisors, whose sum is σ = 20528245850112. Its totient is φ = 1036176261120.

The previous prime is 5195164324093. The next prime is 5195164324159. The reversal of 5195164324140 is 414234615915.

5195164324140 is a `hidden beast` number, since 5 + 19 + 516 + 43 + 2 + 41 + 40 = 666.

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 383 ways as a sum of consecutive naturals, for example, 1513299864 + ... + 1513303296.

It is an arithmetic number, because the mean of its divisors is an integer number (17819657856).

Almost surely, 2^{5195164324140} 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 5195164324140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10264122925056).

5195164324140 is an abundant number, since it is smaller than the sum of its proper divisors (15333081525972).

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

5195164324140 is a wasteful number, since it uses less digits than its factorization.

5195164324140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3599 (or 3594 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 5195164324140 in words is "five trillion, one hundred ninety-five billion, one hundred sixty-four million, three hundred twenty-four thousand, one hundred forty".