5524164026640 has 480 divisors, whose sum is σ = 21645123552000. Its totient is φ = 1262073415680.

The previous prime is 5524164026599. The next prime is 5524164026657. The reversal of 5524164026640 is 466204614255.

5524164026640 is a `hidden beast` number, since 5 + 524 + 1 + 6 + 40 + 26 + 64 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 733714396 + ... + 733721924.

It is an arithmetic number, because the mean of its divisors is an integer number (45094007400).

Almost surely, 2^{5524164026640} 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 5524164026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10822561776000).

5524164026640 is an abundant number, since it is smaller than the sum of its proper divisors (16120959525360).

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

5524164026640 is a wasteful number, since it uses less digits than its factorization.

5524164026640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10540 (or 10517 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 45.

The spelling of 5524164026640 in words is "five trillion, five hundred twenty-four billion, one hundred sixty-four million, twenty-six thousand, six hundred forty".