91878494400 has 2016 divisors, whose sum is σ = 439674081280. Its totient is φ = 18475776000.

The previous prime is 91878494377. The next prime is 91878494441. The reversal of 91878494400 is 449487819.

91878494400 is a `hidden beast` number, since 91 + 8 + 78 + 49 + 440 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2016).

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 287 ways as a sum of consecutive naturals, for example, 2963822385 + ... + 2963822415.

Almost surely, 2^91878494400 is an apocalyptic number.

91878494400 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 91878494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219837040640).

91878494400 is an abundant number, since it is smaller than the sum of its proper divisors (347795586880).

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

91878494400 is a wasteful number, since it uses less digits than its factorization.

91878494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 103 (or 59 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 91878494400 in words is "ninety-one billion, eight hundred seventy-eight million, four hundred ninety-four thousand, four hundred".