95531466960400 has 45 divisors (see below), whose sum is σ = 229514819014983. Its totient is φ = 38212508592000.

The previous prime is 95531466960383. The next prime is 95531466960439. The reversal of 95531466960400 is 406966413559.

It is a happy number.

The square root of 95531466960400 is 9774020.

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

It can be written as a sum of positive squares in 4 ways, for example, as 31790787742224 + 63740679218176 = 5638332^2 + 7983776^2 .

It is a super-2 number, since 2×95531466960400² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 195236050 + ... + 195724750.

Almost surely, 2^{95531466960400} is an apocalyptic number.

95531466960400 is the 9774020-th square number.

It is an amenable number.

95531466960400 is an abundant number, since it is smaller than the sum of its proper divisors (133983352054583).

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

95531466960400 is an frugal number, since it uses more digits than its factorization.

95531466960400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 977420 (or 488708 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 58.

The spelling of 95531466960400 in words is "ninety-five trillion, five hundred thirty-one billion, four hundred sixty-six million, nine hundred sixty thousand, four hundred".