95826428278560 has 1536 divisors, whose sum is σ = 407470694400000. Its totient is φ = 21001067458560.

The previous prime is 95826428278541. The next prime is 95826428278619. The reversal of 95826428278560 is 6587282462859.

95826428278560 is a `hidden beast` number, since 9 + 5 + 8 + 264 + 282 + 7 + 85 + 6 + 0 = 666.

95826428278560 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 255 ways as a sum of consecutive naturals, for example, 5006857471 + ... + 5006876609.

It is an arithmetic number, because the mean of its divisors is an integer number (265280400000).

Almost surely, 2^{95826428278560} is an apocalyptic number.

95826428278560 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 95826428278560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203735347200000).

95826428278560 is an abundant number, since it is smaller than the sum of its proper divisors (311644266121440).

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

95826428278560 is a wasteful number, since it uses less digits than its factorization.

95826428278560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19324 (or 19296 counting only the distinct ones).

The product of its (nonzero) digits is 928972800, while the sum is 72.

The spelling of 95826428278560 in words is "ninety-five trillion, eight hundred twenty-six billion, four hundred twenty-eight million, two hundred seventy-eight thousand, five hundred sixty".