95963648400 has 225 divisors, whose sum is σ = 344606069203. Its totient is φ = 25575436800.

The previous prime is 95963648383. The next prime is 95963648401. The reversal of 95963648400 is 484636959.

The square root of 95963648400 is 309780.

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

95963648400 is a `hidden beast` number, since 9 + 596 + 3 + 6 + 4 + 8 + 40 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1089792144 + 94873856256 = 33012^2 + 308016^2 .

It is a tau number, because it is divible by the number of its divisors (225).

It is a super-3 number, since 3×95963648400³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (95963648401) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 55759540 + ... + 55761260.

Almost surely, 2^95963648400 is an apocalyptic number.

95963648400 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

95963648400 is the 309780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95963648400

95963648400 is an abundant number, since it is smaller than the sum of its proper divisors (248642420803).

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

95963648400 is an equidigital number, since it uses as much as digits as its factorization.

95963648400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3472 (or 1731 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 95963648400 in words is "ninety-five billion, nine hundred sixty-three million, six hundred forty-eight thousand, four hundred".