91287248515056 has 240 divisors, whose sum is σ = 285355421619840. Its totient is φ = 27003258938880.

The previous prime is 91287248515049. The next prime is 91287248515081. The reversal of 91287248515056 is 65051584278219.

91287248515056 is a `hidden beast` number, since 9 + 1 + 2 + 8 + 72 + 4 + 8 + 51 + 505 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 91287248514984 and 91287248515002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 113277415 + ... + 114080441.

It is an arithmetic number, because the mean of its divisors is an integer number (1188980923416).

Almost surely, 2^{91287248515056} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91287248515056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142677710809920).

91287248515056 is an abundant number, since it is smaller than the sum of its proper divisors (194068173104784).

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

91287248515056 is a wasteful number, since it uses less digits than its factorization.

91287248515056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 804764 (or 804755 counting only the distinct ones).

The product of its (nonzero) digits is 48384000, while the sum is 63.

The spelling of 91287248515056 in words is "ninety-one trillion, two hundred eighty-seven billion, two hundred forty-eight million, five hundred fifteen thousand, fifty-six".