88744410000 has 375 divisors, whose sum is σ = 321934950183. Its totient is φ = 23593680000.

The previous prime is 88744409989. The next prime is 88744410023. The reversal of 88744410000 is 1444788.

It is a happy number.

The square root of 88744410000 is 297900.

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

It can be written as a sum of positive squares in 2 ways, for example, as 6957561744 + 81786848256 = 83412^2 + 285984^2 .

It is a tau number, because it is divible by the number of its divisors (375).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 268109835 + ... + 268110165.

Almost surely, 2^88744410000 is an apocalyptic number.

88744410000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

88744410000 is the 297900-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88744410000

88744410000 is an abundant number, since it is smaller than the sum of its proper divisors (233190540183).

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

88744410000 is an frugal number, since it uses more digits than its factorization.

88744410000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 702 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

Multiplying 88744410000 by its sum of digits (36), we get a square (3194798760000 = 1787400²).

88744410000 divided by its sum of digits (36) gives a square (2465122500 = 49650²).

Adding to 88744410000 its reverse (1444788), we get a palindrome (88745854788).

The spelling of 88744410000 in words is "eighty-eight billion, seven hundred forty-four million, four hundred ten thousand".