89933288054400 has 1728 divisors, whose sum is σ = 377791342306560. Its totient is φ = 20309667840000.

The previous prime is 89933288054399. The next prime is 89933288054443. The reversal of 89933288054400 is 445088233998.

89933288054400 is a `hidden beast` number, since 8 + 9 + 9 + 3 + 3 + 2 + 8 + 80 + 544 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 90750037905 + ... + 90750038895.

It is an arithmetic number, because the mean of its divisors is an integer number (218629249020).

Almost surely, 2^{89933288054400} is an apocalyptic number.

89933288054400 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 89933288054400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188895671153280).

89933288054400 is an abundant number, since it is smaller than the sum of its proper divisors (287858054252160).

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

89933288054400 is a wasteful number, since it uses less digits than its factorization.

89933288054400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1716 counting only the distinct ones).

The product of its (nonzero) digits is 59719680, while the sum is 63.

The spelling of 89933288054400 in words is "eighty-nine trillion, nine hundred thirty-three billion, two hundred eighty-eight million, fifty-four thousand, four hundred".