91827687042 has 256 divisors, whose sum is σ = 254910136320. Its totient is φ = 23858509824.

The previous prime is 91827687041. The next prime is 91827687047. The reversal of 91827687042 is 24078672819.

It is a happy number.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 91827687042.

It is not an unprimeable number, because it can be changed into a prime (91827687041) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 182559763 + ... + 182560265.

It is an arithmetic number, because the mean of its divisors is an integer number (995742720).

Almost surely, 2^91827687042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 91827687042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (127455068160).

91827687042 is an abundant number, since it is smaller than the sum of its proper divisors (163082449278).

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

91827687042 is a wasteful number, since it uses less digits than its factorization.

91827687042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1014 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 91827687042 in words is "ninety-one billion, eight hundred twenty-seven million, six hundred eighty-seven thousand, forty-two".