89868048400 has 135 divisors (see below), whose sum is σ = 233996800869. Its totient is φ = 33153269760.

The previous prime is 89868048397. The next prime is 89868048427. The reversal of 89868048400 is 484086898.

The square root of 89868048400 is 299780.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 13 ways, for example, as 64298759184 + 25569289216 = 253572^2 + 159904^2 .

It is a super-2 number, since 2×89868048400² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 77942224 + ... + 77943376.

Almost surely, 2^89868048400 is an apocalyptic number.

89868048400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

89868048400 is the 299780-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 89868048400

89868048400 is an abundant number, since it is smaller than the sum of its proper divisors (144128752469).

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

89868048400 is a wasteful number, since it uses less digits than its factorization.

89868048400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2350 (or 1173 counting only the distinct ones).

The product of its (nonzero) digits is 3538944, while the sum is 55.

The spelling of 89868048400 in words is "eighty-nine billion, eight hundred sixty-eight million, forty-eight thousand, four hundred".