552615663600 has 1800 divisors, whose sum is σ = 2684788752800. Its totient is φ = 105927782400.

The previous prime is 552615663583. The next prime is 552615663629. The reversal of 552615663600 is 6366516255.

552615663600 is a `hidden beast` number, since 5 + 5 + 2 + 6 + 1 + 5 + 6 + 636 + 0 + 0 = 666.

552615663600 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1800).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 356755626 + ... + 356757174.

Almost surely, 2^552615663600 is an apocalyptic number.

552615663600 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 552615663600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1342394376400).

552615663600 is an abundant number, since it is smaller than the sum of its proper divisors (2132173089200).

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

552615663600 is a wasteful number, since it uses less digits than its factorization.

552615663600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1621 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 972000, while the sum is 45.

The spelling of 552615663600 in words is "five hundred fifty-two billion, six hundred fifteen million, six hundred sixty-three thousand, six hundred".