91672581000 has 1280 divisors, whose sum is σ = 396406483200. Its totient is φ = 17385984000.

The previous prime is 91672580957. The next prime is 91672581029. The reversal of 91672581000 is 18527619.

It is a super-2 number, since 2×91672581000² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 91672581000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 1030028956 + ... + 1030029044.

It is an arithmetic number, because the mean of its divisors is an integer number (309692565).

Almost surely, 2^91672581000 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 91672581000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198203241600).

91672581000 is an abundant number, since it is smaller than the sum of its proper divisors (304733902200).

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

91672581000 is a wasteful number, since it uses less digits than its factorization.

91672581000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 39.

The spelling of 91672581000 in words is "ninety-one billion, six hundred seventy-two million, five hundred eighty-one thousand".