91207250400 has 1152 divisors, whose sum is σ = 377975808000. Its totient is φ = 18633646080.

The previous prime is 91207250389. The next prime is 91207250471. The reversal of 91207250400 is 405270219.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 546151117 + ... + 546151283.

It is an arithmetic number, because the mean of its divisors is an integer number (328104000).

Almost surely, 2^91207250400 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 91207250400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188987904000).

91207250400 is an abundant number, since it is smaller than the sum of its proper divisors (286768557600).

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

91207250400 is a wasteful number, since it uses less digits than its factorization.

91207250400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 291 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The spelling of 91207250400 in words is "ninety-one billion, two hundred seven million, two hundred fifty thousand, four hundred".