5526363509040 has 640 divisors, whose sum is σ = 19840202145792. Its totient is φ = 1260323573760.

The previous prime is 5526363509011. The next prime is 5526363509047. The reversal of 5526363509040 is 409053636255.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (5526363509047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 381042429 + ... + 381056931.

Almost surely, 2^{5526363509040} 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 5526363509040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9920101072896).

5526363509040 is an abundant number, since it is smaller than the sum of its proper divisors (14313838636752).

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

5526363509040 is a wasteful number, since it uses less digits than its factorization.

5526363509040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14697 (or 14691 counting only the distinct ones).

The product of its (nonzero) digits is 2916000, while the sum is 48.

The spelling of 5526363509040 in words is "five trillion, five hundred twenty-six billion, three hundred sixty-three million, five hundred nine thousand, forty".