5029075959768 has 640 divisors, whose sum is σ = 16602674457600. Its totient is φ = 1392656219136.

The previous prime is 5029075959767. The next prime is 5029075959769. The reversal of 5029075959768 is 8679595709205.

5029075959768 is a `hidden beast` number, since 5 + 0 + 29 + 0 + 7 + 5 + 9 + 597 + 6 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (5029075959767) and next prime (5029075959769).

It is a super-2 number, since 2×5029075959768² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 5029075959696 and 5029075959705.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5029075959767) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 9193922871 + ... + 9193923417.

It is an arithmetic number, because the mean of its divisors is an integer number (25941678840).

Almost surely, 2^{5029075959768} 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 5029075959768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8301337228800).

5029075959768 is an abundant number, since it is smaller than the sum of its proper divisors (11573598497832).

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

5029075959768 is a wasteful number, since it uses less digits than its factorization.

5029075959768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 428652000, while the sum is 72.

The spelling of 5029075959768 in words is "five trillion, twenty-nine billion, seventy-five million, nine hundred fifty-nine thousand, seven hundred sixty-eight".