5509292263680 has 576 divisors, whose sum is σ = 19163769569280. Its totient is φ = 1343759155200.

The previous prime is 5509292263667. The next prime is 5509292263697. The reversal of 5509292263680 is 863622929055.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is a self number, because there is not a number n which added to its sum of digits gives 5509292263680.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1047192250 + ... + 1047197510.

It is an arithmetic number, because the mean of its divisors is an integer number (33270433280).

Almost surely, 2^{5509292263680} 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 5509292263680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9581884784640).

5509292263680 is an abundant number, since it is smaller than the sum of its proper divisors (13654477305600).

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

5509292263680 is a wasteful number, since it uses less digits than its factorization.

5509292263680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5798 (or 5784 counting only the distinct ones).

The product of its (nonzero) digits is 13996800, while the sum is 57.

The spelling of 5509292263680 in words is "five trillion, five hundred nine billion, two hundred ninety-two million, two hundred sixty-three thousand, six hundred eighty".