91126085424000 has 384 divisors, whose sum is σ = 332041636311840. Its totient is φ = 22091170816000.

The previous prime is 91126085423957. The next prime is 91126085424053. The reversal of 91126085424000 is 42458062119.

It is a tau number, because it is divible by the number of its divisors (384).

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, 2036877 + ... + 13652876.

Almost surely, 2^{91126085424000} 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 91126085424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166020818155920).

91126085424000 is an abundant number, since it is smaller than the sum of its proper divisors (240915550887840).

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

91126085424000 is a wasteful number, since it uses less digits than its factorization.

91126085424000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15689807 (or 15689774 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 42.

The spelling of 91126085424000 in words is "ninety-one trillion, one hundred twenty-six billion, eighty-five million, four hundred twenty-four thousand".