91601280000 has 1320 divisors, whose sum is σ = 372434782720. Its totient is φ = 22394880000.

The previous prime is 91601279971. The next prime is 91601280007. The reversal of 91601280000 is 8210619.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91601280007) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2954879985 + ... + 2954880015.

Almost surely, 2^91601280000 is an apocalyptic number.

91601280000 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 91601280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186217391360).

91601280000 is an abundant number, since it is smaller than the sum of its proper divisors (280833502720).

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

91601280000 is an equidigital number, since it uses as much as digits as its factorization.

91601280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

Adding to 91601280000 its reverse (8210619), we get a palindrome (91609490619).

The spelling of 91601280000 in words is "ninety-one billion, six hundred one million, two hundred eighty thousand".