5268640785408 has 3520 divisors, whose sum is σ = 23009448591360. Its totient is φ = 1156173004800.

The previous prime is 5268640785361. The next prime is 5268640785433. The reversal of 5268640785408 is 8045870468625.

5268640785408 is a `hidden beast` number, since 5 + 2 + 6 + 86 + 4 + 0 + 7 + 8 + 540 + 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 an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 59198211028 + ... + 59198211116.

It is an arithmetic number, because the mean of its divisors is an integer number (6536775168).

Almost surely, 2^{5268640785408} 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 5268640785408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11504724295680).

5268640785408 is an abundant number, since it is smaller than the sum of its proper divisors (17740807805952).

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

5268640785408 is a wasteful number, since it uses less digits than its factorization.

5268640785408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 206 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 5268640785408 in words is "five trillion, two hundred sixty-eight billion, six hundred forty million, seven hundred eighty-five thousand, four hundred eight".