95198095923840 has 2304 divisors, whose sum is σ = 436904949630240. Its totient is φ = 18866818252800.

The previous prime is 95198095923793. The next prime is 95198095923901. The reversal of 95198095923840 is 4832959089159.

95198095923840 is a `hidden beast` number, since 9 + 5 + 198 + 0 + 9 + 59 + 2 + 384 + 0 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 1599901176384 + 93598194747456 = 1264872^2 + 9674616^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 39982399450 + ... + 39982401830.

Almost surely, 2^{95198095923840} is an apocalyptic number.

95198095923840 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 95198095923840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218452474815120).

95198095923840 is an abundant number, since it is smaller than the sum of its proper divisors (341706853706400).

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

95198095923840 is a wasteful number, since it uses less digits than its factorization.

95198095923840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3091 (or 3069 counting only the distinct ones).

The product of its (nonzero) digits is 251942400, while the sum is 72.

The spelling of 95198095923840 in words is "ninety-five trillion, one hundred ninety-eight billion, ninety-five million, nine hundred twenty-three thousand, eight hundred forty".