55417953600 has 672 divisors, whose sum is σ = 214979097600. Its totient is φ = 13847500800.

The previous prime is 55417953599. The next prime is 55417953607. The reversal of 55417953600 is 635971455.

55417953600 is a `hidden beast` number, since 5 + 5 + 41 + 79 + 536 + 0 + 0 = 666.

55417953600 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×55417953600² (a number of 22 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (55417953607) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 87825285 + ... + 87825915.

Almost surely, 2^55417953600 is an apocalyptic number.

55417953600 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 55417953600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107489548800).

55417953600 is an abundant number, since it is smaller than the sum of its proper divisors (159561144000).

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

55417953600 is a wasteful number, since it uses less digits than its factorization.

55417953600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 788 (or 767 counting only the distinct ones).

The product of its (nonzero) digits is 567000, while the sum is 45.

The spelling of 55417953600 in words is "fifty-five billion, four hundred seventeen million, nine hundred fifty-three thousand, six hundred".