95378076468900 has 297 divisors, whose sum is σ = 310531152145921. Its totient is φ = 25427825246880.

The previous prime is 95378076468887. The next prime is 95378076468947. The reversal of 95378076468900 is 986467087359.

The square root of 95378076468900 is 9766170.

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

95378076468900 is a `hidden beast` number, since 9 + 5 + 3 + 7 + 8 + 0 + 76 + 468 + 90 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34336107528804 + 61041968940096 = 5859702^2 + 7812936^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 98 ways as a sum of consecutive naturals, for example, 23731791091 + ... + 23731795109.

Almost surely, 2^{95378076468900} is an apocalyptic number.

95378076468900 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

95378076468900 is the 9766170-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95378076468900

95378076468900 is an abundant number, since it is smaller than the sum of its proper divisors (215153075677021).

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

95378076468900 is an frugal number, since it uses more digits than its factorization.

95378076468900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8082 (or 4029 counting only the distinct ones).

The product of its (nonzero) digits is 548674560, while the sum is 72.

The spelling of 95378076468900 in words is "ninety-five trillion, three hundred seventy-eight billion, seventy-six million, four hundred sixty-eight thousand, nine hundred".