5505154863600 has 240 divisors, whose sum is σ = 20197842255360. Its totient is φ = 1255590681600.

The previous prime is 5505154863589. The next prime is 5505154863679. The reversal of 5505154863600 is 63684515055.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (240).

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

It is a self number, because there is not a number n which added to its sum of digits gives 5505154863600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3161581 + ... + 4583219.

It is an arithmetic number, because the mean of its divisors is an integer number (84157676064).

Almost surely, 2^{5505154863600} is an apocalyptic number.

5505154863600 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5505154863600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10098921127680).

5505154863600 is an abundant number, since it is smaller than the sum of its proper divisors (14692687391760).

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

5505154863600 is a wasteful number, since it uses less digits than its factorization.

5505154863600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1422128 (or 1422117 counting only the distinct ones).

The product of its (nonzero) digits is 2160000, while the sum is 48.

The spelling of 5505154863600 in words is "five trillion, five hundred five billion, one hundred fifty-four million, eight hundred sixty-three thousand, six hundred".