95249451960 has 320 divisors, whose sum is σ = 359764130880. Its totient is φ = 22426398720.

The previous prime is 95249451917. The next prime is 95249451989. The reversal of 95249451960 is 6915494259.

95249451960 is a `hidden beast` number, since 9 + 524 + 9 + 4 + 51 + 9 + 60 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 95249451897 and 95249451906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 919600 + ... + 1017920.

It is an arithmetic number, because the mean of its divisors is an integer number (1124262909).

Almost surely, 2^95249451960 is an apocalyptic number.

95249451960 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 95249451960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179882065440).

95249451960 is an abundant number, since it is smaller than the sum of its proper divisors (264514678920).

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

95249451960 is a wasteful number, since it uses less digits than its factorization.

95249451960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98380 (or 98367 counting only the distinct ones).

The product of its (nonzero) digits is 3499200, while the sum is 54.

The spelling of 95249451960 in words is "ninety-five billion, two hundred forty-nine million, four hundred fifty-one thousand, nine hundred sixty".