5399640904896 has 336 divisors, whose sum is σ = 18241217467200. Its totient is φ = 1495018045440.

The previous prime is 5399640904873. The next prime is 5399640904949. The reversal of 5399640904896 is 6984090469935.

5399640904896 is a `hidden beast` number, since 5 + 3 + 9 + 96 + 409 + 0 + 48 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×5399640904896² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24521880 + ... + 24741096.

It is an arithmetic number, because the mean of its divisors is an integer number (54289337700).

Almost surely, 2^{5399640904896} is an apocalyptic number.

5399640904896 is a gapful number since it is divisible by the number (56) 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 5399640904896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9120608733600).

5399640904896 is an abundant number, since it is smaller than the sum of its proper divisors (12841576562304).

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

5399640904896 is a wasteful number, since it uses less digits than its factorization.

5399640904896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 219432 (or 219419 counting only the distinct ones).

The product of its (nonzero) digits is 453496320, while the sum is 72.

The spelling of 5399640904896 in words is "five trillion, three hundred ninety-nine billion, six hundred forty million, nine hundred four thousand, eight hundred ninety-six".