5217657984 has 384 divisors, whose sum is σ = 19548993600. Its totient is φ = 1354752000.

The previous prime is 5217657983. The next prime is 5217658009. The reversal of 5217657984 is 4897567125.

5217657984 is a `hidden beast` number, since 52 + 17 + 6 + 579 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 5217657984.

It is not an unprimeable number, because it can be changed into a prime (5217657983) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1861384 + ... + 1864184.

Almost surely, 2^5217657984 is an apocalyptic number.

5217657984 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5217657984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9774496800).

5217657984 is an abundant number, since it is smaller than the sum of its proper divisors (14331335616).

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

5217657984 is a wasteful number, since it uses less digits than its factorization.

5217657984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2849 (or 2824 counting only the distinct ones).

The product of its digits is 4233600, while the sum is 54.

The square root of 5217657984 is about 72233.3578341752. The cubic root of 5217657984 is about 1734.4370254166.

The spelling of 5217657984 in words is "five billion, two hundred seventeen million, six hundred fifty-seven thousand, nine hundred eighty-four".