89267126400 has 288 divisors, whose sum is σ = 319022432820. Its totient is φ = 23767449600.

The previous prime is 89267126387. The next prime is 89267126449. The reversal of 89267126400 is 462176298.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 229340736 + 89037785664 = 15144^2 + 298392^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21914764 + ... + 21918836.

Almost surely, 2^89267126400 is an apocalyptic number.

89267126400 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 89267126400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (159511216410).

89267126400 is an abundant number, since it is smaller than the sum of its proper divisors (229755306420).

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

89267126400 is a wasteful number, since it uses less digits than its factorization.

89267126400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4864 (or 4844 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 89267126400 in words is "eighty-nine billion, two hundred sixty-seven million, one hundred twenty-six thousand, four hundred".