5035096437840 has 360 divisors, whose sum is σ = 19694114261640. Its totient is φ = 1149484234752.

The previous prime is 5035096437799. The next prime is 5035096437859. The reversal of 5035096437840 is 487346905305.

5035096437840 is a `hidden beast` number, since 5 + 0 + 3 + 509 + 64 + 3 + 78 + 4 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 140418076176 + 4894678361664 = 374724^2 + 2212392^2 .

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×5035096437840² (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 29161042 + ... + 29333198.

It is an arithmetic number, because the mean of its divisors is an integer number (54705872949).

Almost surely, 2^{5035096437840} 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 5035096437840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9847057130820).

5035096437840 is an abundant number, since it is smaller than the sum of its proper divisors (14659017823800).

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

5035096437840 is a wasteful number, since it uses less digits than its factorization.

5035096437840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 173019 (or 173003 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 5035096437840 in words is "five trillion, thirty-five billion, ninety-six million, four hundred thirty-seven thousand, eight hundred forty".