89787158400 has 192 divisors, whose sum is σ = 295946884080. Its totient is φ = 23926210560.

The previous prime is 89787158389. The next prime is 89787158407. The reversal of 89787158400 is 485178798.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (89787158407) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19360882 + ... + 19365518.

Almost surely, 2^89787158400 is an apocalyptic number.

89787158400 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 89787158400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147973442040).

89787158400 is an abundant number, since it is smaller than the sum of its proper divisors (206159725680).

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

89787158400 is a wasteful number, since it uses less digits than its factorization.

89787158400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6681 (or 6664 counting only the distinct ones).

The product of its (nonzero) digits is 4515840, while the sum is 57.

The spelling of 89787158400 in words is "eighty-nine billion, seven hundred eighty-seven million, one hundred fifty-eight thousand, four hundred".