95822438400 has 1344 divisors, whose sum is σ = 400447703040. Its totient is φ = 22295347200.

The previous prime is 95822438399. The next prime is 95822438407. The reversal of 95822438400 is 483422859.

95822438400 is a `hidden beast` number, since 9 + 582 + 24 + 3 + 8 + 40 + 0 = 666.

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 (95822438407) 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, 2228428779 + ... + 2228428821.

It is an arithmetic number, because the mean of its divisors is an integer number (297952160).

Almost surely, 2^95822438400 is an apocalyptic number.

95822438400 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 95822438400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200223851520).

95822438400 is an abundant number, since it is smaller than the sum of its proper divisors (304625264640).

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

95822438400 is a wasteful number, since it uses less digits than its factorization.

95822438400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 95822438400 in words is "ninety-five billion, eight hundred twenty-two million, four hundred thirty-eight thousand, four hundred".