89377678368000 has 3456 divisors, whose sum is σ = 383275711623168. Its totient is φ = 20528640000000.

The previous prime is 89377678367993. The next prime is 89377678368001. The reversal of 89377678368000 is 86387677398.

89377678368000 is a `hidden beast` number, since 89 + 377 + 6 + 78 + 36 + 80 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a self number, because there is not a number n which added to its sum of digits gives 89377678368000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89377678368001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 356086367875 + ... + 356086368125.

It is an arithmetic number, because the mean of its divisors is an integer number (110901536928).

Almost surely, 2^{89377678368000} is an apocalyptic number.

89377678368000 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 89377678368000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191637855811584).

89377678368000 is an abundant number, since it is smaller than the sum of its proper divisors (293898033255168).

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

89377678368000 is a wasteful number, since it uses less digits than its factorization.

89377678368000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 512 (or 476 counting only the distinct ones).

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

The spelling of 89377678368000 in words is "eighty-nine trillion, three hundred seventy-seven billion, six hundred seventy-eight million, three hundred sixty-eight thousand".