5319656778240 has 1920 divisors, whose sum is σ = 22682781209088. Its totient is φ = 1169550213120.

The previous prime is 5319656778223. The next prime is 5319656778283. The reversal of 5319656778240 is 428776569135.

5319656778240 is a `hidden beast` number, since 5 + 319 + 6 + 5 + 6 + 7 + 78 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 191 ways as a sum of consecutive naturals, for example, 22073264520 + ... + 22073264760.

It is a 1-persistent number, because it is pandigital, but 2⋅5319656778240 = 10639313556480 is not.

Almost surely, 2^{5319656778240} 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 5319656778240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11341390604544).

5319656778240 is an abundant number, since it is smaller than the sum of its proper divisors (17363124430848).

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

5319656778240 is a wasteful number, since it uses less digits than its factorization.

5319656778240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 460 (or 432 counting only the distinct ones).

The product of its (nonzero) digits is 76204800, while the sum is 63.

The spelling of 5319656778240 in words is "five trillion, three hundred nineteen billion, six hundred fifty-six million, seven hundred seventy-eight thousand, two hundred forty".