5434186805190 has 1920 divisors, whose sum is σ = 19091758371840. Its totient is φ = 1095955660800.

The previous prime is 5434186805111. The next prime is 5434186805197. The reversal of 5434186805190 is 915086814345.

It is a happy number.

5434186805190 is a `hidden beast` number, since 5 + 4 + 3 + 41 + 8 + 6 + 80 + 519 + 0 = 666.

It is a super-4 number, since 4×5434186805190⁴ (a number of 52 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5434186805197) by changing a digit.

It is a polite number, since it can be written in 959 ways as a sum of consecutive naturals, for example, 61058278666 + ... + 61058278754.

It is an arithmetic number, because the mean of its divisors is an integer number (9943624152).

Almost surely, 2^{5434186805190} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5434186805190, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9545879185920).

5434186805190 is an abundant number, since it is smaller than the sum of its proper divisors (13657571566650).

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

5434186805190 is a wasteful number, since it uses less digits than its factorization.

5434186805190 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252 (or 230 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 54.

The spelling of 5434186805190 in words is "five trillion, four hundred thirty-four billion, one hundred eighty-six million, eight hundred five thousand, one hundred ninety".