5040191534672 has 90 divisors (see below), whose sum is σ = 11371764348558. Its totient is φ = 2157793645056.

The previous prime is 5040191534569. The next prime is 5040191534683. The reversal of 5040191534672 is 2764351910405.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 10290885136 + 5029900649536 = 101444^2 + 2242744^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1115824958 + ... + 1115829474.

Almost surely, 2^{5040191534672} 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 5040191534672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5685882174279).

5040191534672 is an abundant number, since it is smaller than the sum of its proper divisors (6331572813886).

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

5040191534672 is an equidigital number, since it uses as much as digits as its factorization.

5040191534672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6925 (or 5719 counting only the distinct ones).

The product of its (nonzero) digits is 907200, while the sum is 47.

The spelling of 5040191534672 in words is "five trillion, forty billion, one hundred ninety-one million, five hundred thirty-four thousand, six hundred seventy-two".