91282954560 has 672 divisors, whose sum is σ = 349376146560. Its totient is φ = 20118454272.

The previous prime is 91282954549. The next prime is 91282954577. The reversal of 91282954560 is 6545928219.

It is a tau number, because it is divible by the number of its divisors (672).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 311545774 + ... + 311546066.

It is an arithmetic number, because the mean of its divisors is an integer number (519904980).

Almost surely, 2^91282954560 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 91282954560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174688073280).

91282954560 is an abundant number, since it is smaller than the sum of its proper divisors (258093192000).

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

91282954560 is a wasteful number, since it uses less digits than its factorization.

91282954560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 543 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 91282954560 in words is "ninety-one billion, two hundred eighty-two million, nine hundred fifty-four thousand, five hundred sixty".