5565153435600 has 720 divisors, whose sum is σ = 21839826536640. Its totient is φ = 1202927616000.

The previous prime is 5565153435553. The next prime is 5565153435613. The reversal of 5565153435600 is 65343515655.

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 5565153435600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 46840270 + ... + 46958930.

It is an arithmetic number, because the mean of its divisors is an integer number (30333092412).

Almost surely, 2^{5565153435600} is an apocalyptic number.

5565153435600 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 5565153435600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10919913268320).

5565153435600 is an abundant number, since it is smaller than the sum of its proper divisors (16274673101040).

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

5565153435600 is a wasteful number, since it uses less digits than its factorization.

5565153435600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118740 (or 118718 counting only the distinct ones).

The product of its (nonzero) digits is 4050000, while the sum is 48.

The spelling of 5565153435600 in words is "five trillion, five hundred sixty-five billion, one hundred fifty-three million, four hundred thirty-five thousand, six hundred".