95976040000 has 105 divisors (see below), whose sum is σ = 238143126837. Its totient is φ = 38365632000.

The previous prime is 95976039977. The next prime is 95976040063. The reversal of 95976040000 is 4067959.

The square root of 95976040000 is 309800.

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

It can be written as a sum of positive squares in 7 ways, for example, as 85483725376 + 10492314624 = 292376^2 + 102432^2 .

It is a super-2 number, since 2×95976040000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 61959226 + ... + 61960774.

Almost surely, 2^95976040000 is an apocalyptic number.

95976040000 is the 309800-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95976040000

95976040000 is an abundant number, since it is smaller than the sum of its proper divisors (142167086837).

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

95976040000 is an frugal number, since it uses more digits than its factorization.

95976040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 1556 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 40.

The spelling of 95976040000 in words is "ninety-five billion, nine hundred seventy-six million, forty thousand".