95996101017600 has 2025 divisors, whose sum is σ = 415395727663917. Its totient is φ = 21941965946880.

The previous prime is 95996101017529. The next prime is 95996101017629. The reversal of 95996101017600 is 671010169959.

It is a happy number.

The square root of 95996101017600 is 9797760.

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

95996101017600 is a `hidden beast` number, since 9 + 5 + 9 + 9 + 6 + 1 + 0 + 10 + 17 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 34558596366336 + 61437504651264 = 5878656^2 + 7838208^2 .

It is a tau number, because it is divible by the number of its divisors (2025).

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

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 13713728716797 + ... + 13713728716803.

Almost surely, 2^{95996101017600} is an apocalyptic number.

95996101017600 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

95996101017600 is the 9797760-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95996101017600

95996101017600 is an abundant number, since it is smaller than the sum of its proper divisors (319399626646317).

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

95996101017600 is an frugal number, since it uses more digits than its factorization.

95996101017600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 918540, while the sum is 54.

The spelling of 95996101017600 in words is "ninety-five trillion, nine hundred ninety-six billion, one hundred one million, seventeen thousand, six hundred".