95782061865600 has 768 divisors, whose sum is σ = 385322230656000. Its totient is φ = 23042612736000.

The previous prime is 95782061865593. The next prime is 95782061865601. The reversal of 95782061865600 is 656816028759.

95782061865600 is a `hidden beast` number, since 9 + 5 + 7 + 8 + 2 + 0 + 6 + 18 + 6 + 5 + 600 = 666.

It is not an unprimeable number, because it can be changed into a prime (95782061865601) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124117741 + ... + 124887059.

It is an arithmetic number, because the mean of its divisors is an integer number (501721654500).

Almost surely, 2^{95782061865600} is an apocalyptic number.

95782061865600 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 95782061865600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192661115328000).

95782061865600 is an abundant number, since it is smaller than the sum of its proper divisors (289540168790400).

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

95782061865600 is a wasteful number, since it uses less digits than its factorization.

95782061865600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769494 (or 769471 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 95782061865600 in words is "ninety-five trillion, seven hundred eighty-two billion, sixty-one million, eight hundred sixty-five thousand, six hundred".