91869650496000 has 4800 divisors, whose sum is σ = 403355778265440. Its totient is φ = 20647614873600.

The previous prime is 91869650495977. The next prime is 91869650496011. The reversal of 91869650496000 is 69405696819.

91869650496000 is a `hidden beast` number, since 9 + 1 + 8 + 6 + 96 + 50 + 496 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 48 ways, for example, as 60750925426944 + 31118725069056 = 7794288^2 + 5578416^2 .

It is a tau number, because it is divible by the number of its divisors (4800).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1032243263956 + ... + 1032243264044.

Almost surely, 2^{91869650496000} is an apocalyptic number.

91869650496000 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 91869650496000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201677889132720).

91869650496000 is an abundant number, since it is smaller than the sum of its proper divisors (311486127769440).

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

91869650496000 is a wasteful number, since it uses less digits than its factorization.

91869650496000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 25194240, while the sum is 63.

The spelling of 91869650496000 in words is "ninety-one trillion, eight hundred sixty-nine billion, six hundred fifty million, four hundred ninety-six thousand".