91780356096 has 960 divisors, whose sum is σ = 332639667360. Its totient is φ = 24843386880.

The previous prime is 91780356089. The next prime is 91780356103. The reversal of 91780356096 is 69065308719.

91780356096 is a `hidden beast` number, since 9 + 1 + 78 + 0 + 3 + 560 + 9 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (91780356089) and next prime (91780356103).

It is a super-2 number, since 2×91780356096² (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1257265116 + ... + 1257265188.

Almost surely, 2^91780356096 is an apocalyptic number.

91780356096 is a gapful number since it is divisible by the number (96) 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 91780356096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166319833680).

91780356096 is an abundant number, since it is smaller than the sum of its proper divisors (240859311264).

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

91780356096 is a wasteful number, since it uses less digits than its factorization.

91780356096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 91780356096 in words is "ninety-one billion, seven hundred eighty million, three hundred fifty-six thousand, ninety-six".