5505822026640 has 1200 divisors, whose sum is σ = 22520065529808. Its totient is φ = 1240927174656.

The previous prime is 5505822026591. The next prime is 5505822026647. The reversal of 5505822026640 is 466202285055.

It is a happy number.

5505822026640 is a `hidden beast` number, since 5 + 5 + 0 + 582 + 2 + 0 + 2 + 6 + 64 + 0 = 666.

It can be written as a sum of positive squares in 24 ways, for example, as 4432658630544 + 1073163396096 = 2105388^2 + 1035936^2 .

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

It is not an unprimeable number, because it can be changed into a prime (5505822026647) by changing a digit.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 688826484 + ... + 688834476.

Almost surely, 2^{5505822026640} 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 5505822026640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11260032764904).

5505822026640 is an abundant number, since it is smaller than the sum of its proper divisors (17014243503168).

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

5505822026640 is a wasteful number, since it uses less digits than its factorization.

5505822026640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8098 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 5505822026640 in words is "five trillion, five hundred five billion, eight hundred twenty-two million, twenty-six thousand, six hundred forty".