91869173760 has 768 divisors, whose sum is σ = 368526412800. Its totient is φ = 19020644352.

The previous prime is 91869173743. The next prime is 91869173777. The reversal of 91869173760 is 6737196819.

It is an interprime number because it is at equal distance from previous prime (91869173743) and next prime (91869173777).

It is a tau number, because it is divible by the number of its divisors (768).

It is a self number, because there is not a number n which added to its sum of digits gives 91869173760.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 164935402 + ... + 164935958.

It is an arithmetic number, because the mean of its divisors is an integer number (479852100).

Almost surely, 2^91869173760 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 91869173760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184263206400).

91869173760 is an abundant number, since it is smaller than the sum of its proper divisors (276657239040).

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

91869173760 is a wasteful number, since it uses less digits than its factorization.

91869173760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 666 (or 646 counting only the distinct ones).

The product of its (nonzero) digits is 3429216, while the sum is 57.

The spelling of 91869173760 in words is "ninety-one billion, eight hundred sixty-nine million, one hundred seventy-three thousand, seven hundred sixty".