89239521050400 has 576 divisors, whose sum is σ = 351769953282048. Its totient is φ = 19182932213760.

The previous prime is 89239521050399. The next prime is 89239521050411. The reversal of 89239521050400 is 405012593298.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 89239521050400.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 372016899 + ... + 372256701.

It is an arithmetic number, because the mean of its divisors is an integer number (610711724448).

Almost surely, 2^{89239521050400} is an apocalyptic number.

89239521050400 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 89239521050400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175884976641024).

89239521050400 is an abundant number, since it is smaller than the sum of its proper divisors (262530432231648).

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

89239521050400 is a wasteful number, since it uses less digits than its factorization.

89239521050400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 241153 (or 241140 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 48.

The spelling of 89239521050400 in words is "eighty-nine trillion, two hundred thirty-nine billion, five hundred twenty-one million, fifty thousand, four hundred".