5153615288640 has 1792 divisors, whose sum is σ = 23123990937600. Its totient is φ = 1051591901184.

The previous prime is 5153615288561. The next prime is 5153615288677. The reversal of 5153615288640 is 468825163515.

5153615288640 is a `hidden beast` number, since 5 + 1 + 5 + 36 + 1 + 528 + 86 + 4 + 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 polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3288841137 + ... + 3288842703.

It is an arithmetic number, because the mean of its divisors is an integer number (12904012800).

Almost surely, 2^{5153615288640} 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 5153615288640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11561995468800).

5153615288640 is an abundant number, since it is smaller than the sum of its proper divisors (17970375648960).

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

5153615288640 is a wasteful number, since it uses less digits than its factorization.

5153615288640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1749 (or 1733 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 54.

The spelling of 5153615288640 in words is "five trillion, one hundred fifty-three billion, six hundred fifteen million, two hundred eighty-eight thousand, six hundred forty".