95311248480 has 720 divisors, whose sum is σ = 393873886224. Its totient is φ = 21764090880.

The previous prime is 95311248469. The next prime is 95311248491. The reversal of 95311248480 is 8484211359.

95311248480 is a `hidden beast` number, since 9 + 53 + 112 + 4 + 8 + 480 = 666.

It is an interprime number because it is at equal distance from previous prime (95311248469) and next prime (95311248491).

It is a tau number, because it is divible by the number of its divisors (720).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 93350370 + ... + 93351390.

Almost surely, 2^95311248480 is an apocalyptic number.

95311248480 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 95311248480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196936943112).

95311248480 is an abundant number, since it is smaller than the sum of its proper divisors (298562637744).

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

95311248480 is an equidigital number, since it uses as much as digits as its factorization.

95311248480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1079 (or 1038 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 95311248480 in words is "ninety-five billion, three hundred eleven million, two hundred forty-eight thousand, four hundred eighty".