95926478400 has 567 divisors, whose sum is σ = 357119573161. Its totient is φ = 24420802560.

The previous prime is 95926478387. The next prime is 95926478423. The reversal of 95926478400 is 487462959.

The square root of 95926478400 is 309720.

It is a perfect power (a square), and thus also a powerful number.

95926478400 is a `hidden beast` number, since 9 + 592 + 6 + 4 + 7 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 85493081664 + 10433396736 = 292392^2 + 102144^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1077825556 + ... + 1077825644.

Almost surely, 2^95926478400 is an apocalyptic number.

95926478400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

95926478400 is the 309720-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95926478400

95926478400 is an abundant number, since it is smaller than the sum of its proper divisors (261193094761).

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

95926478400 is a wasteful number, since it uses less digits than its factorization.

95926478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 95926478400 in words is "ninety-five billion, nine hundred twenty-six million, four hundred seventy-eight thousand, four hundred".