95413248000 has 1792 divisors, whose sum is σ = 441633254400. Its totient is φ = 19818086400.

The previous prime is 95413247989. The next prime is 95413248011. The reversal of 95413248000 is 84231459.

95413248000 is a `hidden beast` number, since 9 + 541 + 32 + 4 + 80 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (95413247989) and next prime (95413248011).

It is a tau number, because it is divible by the number of its divisors (1792).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3290111986 + ... + 3290112014.

Almost surely, 2^95413248000 is an apocalyptic number.

95413248000 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 95413248000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220816627200).

95413248000 is an abundant number, since it is smaller than the sum of its proper divisors (346220006400).

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

95413248000 is a wasteful number, since it uses less digits than its factorization.

95413248000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 63 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 95413248000 its reverse (84231459), we get a palindrome (95497479459).

The spelling of 95413248000 in words is "ninety-five billion, four hundred thirteen million, two hundred forty-eight thousand".