5191155601920 has 960 divisors, whose sum is σ = 18878060298240. Its totient is φ = 1316818944000.

The previous prime is 5191155601903. The next prime is 5191155601949. The reversal of 5191155601920 is 291065511915.

5191155601920 is a `hidden beast` number, since 5 + 1 + 9 + 1 + 1 + 556 + 0 + 1 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13696980291 + ... + 13696980669.

It is an arithmetic number, because the mean of its divisors is an integer number (19664646144).

Almost surely, 2^{5191155601920} 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 5191155601920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9439030149120).

5191155601920 is an abundant number, since it is smaller than the sum of its proper divisors (13686904696320).

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

5191155601920 is a wasteful number, since it uses less digits than its factorization.

5191155601920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 717 (or 698 counting only the distinct ones).

The product of its (nonzero) digits is 121500, while the sum is 45.

The spelling of 5191155601920 in words is "five trillion, one hundred ninety-one billion, one hundred fifty-five million, six hundred one thousand, nine hundred twenty".