91942290000 has 1000 divisors, whose sum is σ = 384729447168. Its totient is φ = 20943360000.

The previous prime is 91942289977. The next prime is 91942290007. The reversal of 91942290000 is 9224919.

It is a tau number, because it is divible by the number of its divisors (1000).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91942290007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 199 ways as a sum of consecutive naturals, for example, 151469697 + ... + 151470303.

Almost surely, 2^91942290000 is an apocalyptic number.

91942290000 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 91942290000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192364723584).

91942290000 is an abundant number, since it is smaller than the sum of its proper divisors (292787157168).

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

91942290000 is a wasteful number, since it uses less digits than its factorization.

91942290000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 675 (or 645 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 36.

The spelling of 91942290000 in words is "ninety-one billion, nine hundred forty-two million, two hundred ninety thousand".