5195111215140 has 1728 divisors, whose sum is σ = 22002706252800. Its totient is φ = 977424537600.

The previous prime is 5195111215127. The next prime is 5195111215153. The reversal of 5195111215140 is 415121115915.

5195111215140 is a `hidden beast` number, since 5 + 1 + 9 + 5 + 11 + 121 + 514 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5195111215127) and next prime (5195111215153).

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

It is a junction number, because it is equal to n+sod(n) for n = 5195111215095 and 5195111215104.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 4024097895 + ... + 4024099185.

It is an arithmetic number, because the mean of its divisors is an integer number (12733047600).

Almost surely, 2^{5195111215140} 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 5195111215140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11001353126400).

5195111215140 is an abundant number, since it is smaller than the sum of its proper divisors (16807595037660).

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

5195111215140 is a wasteful number, since it uses less digits than its factorization.

5195111215140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1446 (or 1434 counting only the distinct ones).

The product of its (nonzero) digits is 9000, while the sum is 36.

The spelling of 5195111215140 in words is "five trillion, one hundred ninety-five billion, one hundred eleven million, two hundred fifteen thousand, one hundred forty".