5290460648928 has 2592 divisors, whose sum is σ = 21801071545344. Its totient is φ = 1200938876928.

The previous prime is 5290460648881. The next prime is 5290460648933. The reversal of 5290460648928 is 8298460640925.

5290460648928 is a `hidden beast` number, since 5 + 2 + 90 + 4 + 60 + 6 + 489 + 2 + 8 = 666.

It is a harmonic number, since the harmonic mean of its divisors is an integer.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 41657170401 + ... + 41657170527.

It is an arithmetic number, because the mean of its divisors is an integer number (8410907232).

Almost surely, 2^{5290460648928} 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 5290460648928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10900535772672).

5290460648928 is an abundant number, since it is smaller than the sum of its proper divisors (16510610896416).

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

5290460648928 is a wasteful number, since it uses less digits than its factorization.

5290460648928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 262 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 5290460648928 in words is "five trillion, two hundred ninety billion, four hundred sixty million, six hundred forty-eight thousand, nine hundred twenty-eight".