5167409091840 has 288 divisors, whose sum is σ = 18419382051840. Its totient is φ = 1371794448384.

The previous prime is 5167409091821. The next prime is 5167409091853. The reversal of 5167409091840 is 481909047615.

5167409091840 is a `hidden beast` number, since 51 + 6 + 7 + 409 + 0 + 9 + 184 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7371634 + ... + 8042126.

It is an arithmetic number, because the mean of its divisors is an integer number (63956187680).

Almost surely, 2^{5167409091840} 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 5167409091840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9209691025920).

5167409091840 is an abundant number, since it is smaller than the sum of its proper divisors (13251972960000).

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

5167409091840 is a wasteful number, since it uses less digits than its factorization.

5167409091840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 670746 (or 670726 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 5167409091840 in words is "five trillion, one hundred sixty-seven billion, four hundred nine million, ninety-one thousand, eight hundred forty".