91607777280000 has 1440 divisors, whose sum is σ = 343952587440000. Its totient is φ = 24086052864000.

The previous prime is 91607777279981. The next prime is 91607777280007. The reversal of 91607777280000 is 8277770619.

91607777280000 is a `hidden beast` number, since 9 + 1 + 607 + 7 + 7 + 7 + 28 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (91607777280007) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 183582719751 + ... + 183582720249.

It is an arithmetic number, because the mean of its divisors is an integer number (238855963500).

Almost surely, 2^{91607777280000} is an apocalyptic number.

91607777280000 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 91607777280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171976293720000).

91607777280000 is an abundant number, since it is smaller than the sum of its proper divisors (252344810160000).

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

91607777280000 is an frugal number, since it uses more digits than its factorization.

91607777280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 2074464, while the sum is 54.

The spelling of 91607777280000 in words is "ninety-one trillion, six hundred seven billion, seven hundred seventy-seven million, two hundred eighty thousand".