95553561600 has 1320 divisors, whose sum is σ = 420156411840. Its totient is φ = 20994785280.

The previous prime is 95553561589. The next prime is 95553561619. The reversal of 95553561600 is 616535559.

It is a happy number.

95553561600 is a `hidden beast` number, since 9 + 5 + 5 + 5 + 35 + 6 + 1 + 600 = 666.

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 119 ways as a sum of consecutive naturals, for example, 420940687 + ... + 420940913.

It is an arithmetic number, because the mean of its divisors is an integer number (318300312).

Almost surely, 2^95553561600 is an apocalyptic number.

95553561600 is a gapful number since it is divisible by the number (90) 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 95553561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210078205920).

95553561600 is an abundant number, since it is smaller than the sum of its proper divisors (324602850240).

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

95553561600 is a wasteful number, since it uses less digits than its factorization.

95553561600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 305 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 607500, while the sum is 45.

The spelling of 95553561600 in words is "ninety-five billion, five hundred fifty-three million, five hundred sixty-one thousand, six hundred".