5033937548640 has 1152 divisors, whose sum is σ = 21711418122240. Its totient is φ = 963731865600.

The previous prime is 5033937548617. The next prime is 5033937548663. The reversal of 5033937548640 is 468457393305.

It is an interprime number because it is at equal distance from previous prime (5033937548617) and next prime (5033937548663).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2384621185 + ... + 2384623295.

It is an arithmetic number, because the mean of its divisors is an integer number (18846717120).

Almost surely, 2^{5033937548640} 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 5033937548640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10855709061120).

5033937548640 is an abundant number, since it is smaller than the sum of its proper divisors (16677480573600).

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

5033937548640 is a wasteful number, since it uses less digits than its factorization.

5033937548640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2876 (or 2861 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 57.

The spelling of 5033937548640 in words is "five trillion, thirty-three billion, nine hundred thirty-seven million, five hundred forty-eight thousand, six hundred forty".