95055206400 has 2304 divisors, whose sum is σ = 467970048000. Its totient is φ = 18314035200.

The previous prime is 95055206383. The next prime is 95055206401. The reversal of 95055206400 is 460255059.

95055206400 is a `hidden beast` number, since 9 + 5 + 0 + 5 + 5 + 2 + 0 + 640 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95055206401) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2022451177 + ... + 2022451223.

It is an arithmetic number, because the mean of its divisors is an integer number (203112000).

Almost surely, 2^95055206400 is an apocalyptic number.

95055206400 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 95055206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233985024000).

95055206400 is an abundant number, since it is smaller than the sum of its proper divisors (372914841600).

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

95055206400 is a wasteful number, since it uses less digits than its factorization.

95055206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 125 (or 94 counting only the distinct ones).

The product of its (nonzero) digits is 54000, while the sum is 36.

The spelling of 95055206400 in words is "ninety-five billion, fifty-five million, two hundred six thousand, four hundred".