95217101090496 has 2688 divisors, whose sum is σ = 396498353356800. Its totient is φ = 22056717312000.

The previous prime is 95217101090429. The next prime is 95217101090497. The reversal of 95217101090496 is 69409010171259.

It is a happy number.

95217101090496 is a `hidden beast` number, since 9 + 52 + 1 + 7 + 1 + 0 + 10 + 90 + 496 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (95217101090497) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 20297823511 + ... + 20297828201.

Almost surely, 2^{95217101090496} is an apocalyptic number.

95217101090496 is a gapful number since it is divisible by the number (96) 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 95217101090496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198249176678400).

95217101090496 is an abundant number, since it is smaller than the sum of its proper divisors (301281252266304).

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

95217101090496 is a wasteful number, since it uses less digits than its factorization.

95217101090496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4824 (or 4801 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The spelling of 95217101090496 in words is "ninety-five trillion, two hundred seventeen billion, one hundred one million, ninety thousand, four hundred ninety-six".