95948811000 has 576 divisors, whose sum is σ = 381314213280. Its totient is φ = 21695385600.

The previous prime is 95948810957. The next prime is 95948811001. The reversal of 95948811000 is 11884959.

95948811000 is a `hidden beast` number, since 9 + 59 + 488 + 110 + 0 + 0 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (95948811001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 42775879 + ... + 42778121.

Almost surely, 2^95948811000 is an apocalyptic number.

95948811000 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 95948811000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190657106640).

95948811000 is an abundant number, since it is smaller than the sum of its proper divisors (285365402280).

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

95948811000 is a wasteful number, since it uses less digits than its factorization.

95948811000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2381 (or 2357 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 45.

The spelling of 95948811000 in words is "ninety-five billion, nine hundred forty-eight million, eight hundred eleven thousand".