91306051200000 has 5280 divisors, whose sum is σ = 433424509056000. Its totient is φ = 19020718080000.

The previous prime is 91306051199977. The next prime is 91306051200041. The reversal of 91306051200000 is 215060319.

91306051200000 is a `hidden beast` number, since 9 + 1 + 30 + 605 + 1 + 20 + 0 + 0 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1155772799961 + ... + 1155772800039.

It is an arithmetic number, because the mean of its divisors is an integer number (82087975200).

Almost surely, 2^{91306051200000} is an apocalyptic number.

91306051200000 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 91306051200000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216712254528000).

91306051200000 is an abundant number, since it is smaller than the sum of its proper divisors (342118457856000).

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

91306051200000 is an frugal number, since it uses more digits than its factorization.

91306051200000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170 (or 109 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 27.

Adding to 91306051200000 its reverse (215060319), we get a palindrome (91306266260319).

The spelling of 91306051200000 in words is "ninety-one trillion, three hundred six billion, fifty-one million, two hundred thousand".