91406187600 has 720 divisors, whose sum is σ = 369279364608. Its totient is φ = 19156193280.

The previous prime is 91406187583. The next prime is 91406187637. The reversal of 91406187600 is 678160419.

It is a super-2 number, since 2×91406187600² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 150586497 + ... + 150587103.

Almost surely, 2^91406187600 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 91406187600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184639682304).

91406187600 is an abundant number, since it is smaller than the sum of its proper divisors (277873177008).

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

91406187600 is a wasteful number, since it uses less digits than its factorization.

91406187600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 852 (or 834 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The spelling of 91406187600 in words is "ninety-one billion, four hundred six million, one hundred eighty-seven thousand, six hundred".