5390674421760 has 576 divisors, whose sum is σ = 18996986408400. Its totient is φ = 1413567479808.

The previous prime is 5390674421753. The next prime is 5390674421807. The reversal of 5390674421760 is 671244760935.

5390674421760 is a `hidden beast` number, since 5 + 3 + 90 + 6 + 74 + 421 + 7 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 3946293494784 + 1444380926976 = 1986528^2 + 1201824^2 .

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×5390674421760² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 5390674421697 and 5390674421706.

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, 1376223322 + ... + 1376227238.

Almost surely, 2^{5390674421760} 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 5390674421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9498493204200).

5390674421760 is an abundant number, since it is smaller than the sum of its proper divisors (13606311986640).

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

5390674421760 is a wasteful number, since it uses less digits than its factorization.

5390674421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4196 (or 4173 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 5390674421760 in words is "five trillion, three hundred ninety billion, six hundred seventy-four million, four hundred twenty-one thousand, seven hundred sixty".