95294880000 has 1260 divisors, whose sum is σ = 383861687440. Its totient is φ = 23514624000.

The previous prime is 95294879993. The next prime is 95294880017. The reversal of 95294880000 is 8849259.

95294880000 is a `hidden beast` number, since 9 + 529 + 48 + 80 + 0 + 0 + 0 = 666.

It is a super-2 number, since 2×95294880000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 2216159979 + ... + 2216160021.

Almost surely, 2^95294880000 is an apocalyptic number.

95294880000 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 95294880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191930843720).

95294880000 is an abundant number, since it is smaller than the sum of its proper divisors (288566807440).

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

95294880000 is an frugal number, since it uses more digits than its factorization.

95294880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 72 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 95294880000 in words is "ninety-five billion, two hundred ninety-four million, eight hundred eighty thousand".