5505367633920 has 3328 divisors, whose sum is σ = 26040428789760. Its totient is φ = 1070176665600.

The previous prime is 5505367633903. The next prime is 5505367633937. The reversal of 5505367633920 is 293367635055.

5505367633920 is a `hidden beast` number, since 5 + 5 + 0 + 536 + 76 + 3 + 39 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5505367633903) and next prime (5505367633937).

It is a super-2 number, since 2×5505367633920² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 56756367312 + ... + 56756367408.

Almost surely, 2^{5505367633920} 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 5505367633920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13020214394880).

5505367633920 is an abundant number, since it is smaller than the sum of its proper divisors (20535061155840).

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

5505367633920 is a wasteful number, since it uses less digits than its factorization.

5505367633920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 15309000, while the sum is 54.

The spelling of 5505367633920 in words is "five trillion, five hundred five billion, three hundred sixty-seven million, six hundred thirty-three thousand, nine hundred twenty".