5149279175040 has 4608 divisors, whose sum is σ = 26015880683520. Its totient is φ = 945959731200.

The previous prime is 5149279175011. The next prime is 5149279175093. The reversal of 5149279175040 is 405719729415.

5149279175040 is a `hidden beast` number, since 5 + 1 + 49 + 2 + 7 + 91 + 7 + 504 + 0 = 666.

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

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 53085352272 + ... + 53085352368.

It is an arithmetic number, because the mean of its divisors is an integer number (5645807440).

Almost surely, 2^{5149279175040} 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 5149279175040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13007940341760).

5149279175040 is an abundant number, since it is smaller than the sum of its proper divisors (20866601508480).

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

5149279175040 is a wasteful number, since it uses less digits than its factorization.

5149279175040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 204 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 5149279175040 in words is "five trillion, one hundred forty-nine billion, two hundred seventy-nine million, one hundred seventy-five thousand, forty".