5186070751680 has 1344 divisors, whose sum is σ = 22787534165760. Its totient is φ = 1052934930432.

The previous prime is 5186070751649. The next prime is 5186070751699. The reversal of 5186070751680 is 861570706815.

5186070751680 is a `hidden beast` number, since 5 + 18 + 607 + 0 + 7 + 5 + 16 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2682911994 + ... + 2682913926.

It is an arithmetic number, because the mean of its divisors is an integer number (16955010540).

Almost surely, 2^{5186070751680} 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 5186070751680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11393767082880).

5186070751680 is an abundant number, since it is smaller than the sum of its proper divisors (17601463414080).

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

5186070751680 is a wasteful number, since it uses less digits than its factorization.

5186070751680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2358 (or 2345 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 5186070751680 in words is "five trillion, one hundred eighty-six billion, seventy million, seven hundred fifty-one thousand, six hundred eighty".