89631766778400 has 1728 divisors, whose sum is σ = 410410668036096. Its totient is φ = 17865888768000.

The previous prime is 89631766778387. The next prime is 89631766778413. The reversal of 89631766778400 is 487766713698.

It is a happy number.

89631766778400 is a `hidden beast` number, since 8 + 96 + 3 + 1 + 7 + 6 + 67 + 78 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (89631766778387) and next prime (89631766778413).

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 1456378029 + ... + 1456439571.

It is an arithmetic number, because the mean of its divisors is an integer number (237506173632).

Almost surely, 2^{89631766778400} is an apocalyptic number.

89631766778400 is a gapful number since it is divisible by the number (80) 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 89631766778400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205205334018048).

89631766778400 is an abundant number, since it is smaller than the sum of its proper divisors (320778901257696).

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

89631766778400 is a wasteful number, since it uses less digits than its factorization.

89631766778400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61695 (or 61679 counting only the distinct ones).

The product of its (nonzero) digits is 512096256, while the sum is 72.

The spelling of 89631766778400 in words is "eighty-nine trillion, six hundred thirty-one billion, seven hundred sixty-six million, seven hundred seventy-eight thousand, four hundred".