95825227184640 has 1280 divisors, whose sum is σ = 356043086784000. Its totient is φ = 24407318200320.

The previous prime is 95825227184629. The next prime is 95825227184641. The reversal of 95825227184640 is 4648172252859.

95825227184640 is a `hidden beast` number, since 9 + 5 + 82 + 5 + 22 + 71 + 8 + 464 + 0 = 666.

95825227184640 is digitally balanced in base 3, because in such base 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 (1280).

It is not an unprimeable number, because it can be changed into a prime (95825227184641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46314753526 + ... + 46314755594.

It is an arithmetic number, because the mean of its divisors is an integer number (278158661550).

Almost surely, 2^{95825227184640} is an apocalyptic number.

95825227184640 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 95825227184640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178021543392000).

95825227184640 is an abundant number, since it is smaller than the sum of its proper divisors (260217859599360).

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

95825227184640 is a wasteful number, since it uses less digits than its factorization.

95825227184640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2478 (or 2456 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 95825227184640 in words is "ninety-five trillion, eight hundred twenty-five billion, two hundred twenty-seven million, one hundred eighty-four thousand, six hundred forty".