5029157113344 has 2880 divisors, whose sum is σ = 20539205406720. Its totient is φ = 1213981655040.

The previous prime is 5029157113283. The next prime is 5029157113361. The reversal of 5029157113344 is 4433117519205.

5029157113344 is a `hidden beast` number, since 5 + 0 + 2 + 9 + 1 + 571 + 1 + 33 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5029157113344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 56507383252 + ... + 56507383340.

It is an arithmetic number, because the mean of its divisors is an integer number (7131668544).

Almost surely, 2^{5029157113344} is an apocalyptic number.

5029157113344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5029157113344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10269602703360).

5029157113344 is an abundant number, since it is smaller than the sum of its proper divisors (15510048293376).

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

5029157113344 is a wasteful number, since it uses less digits than its factorization.

5029157113344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 5029157113344 in words is "five trillion, twenty-nine billion, one hundred fifty-seven million, one hundred thirteen thousand, three hundred forty-four".