88409393280000 has 1320 divisors, whose sum is σ = 350033994398088. Its totient is φ = 21350744064000.

The previous prime is 88409393279971. The next prime is 88409393280049. The reversal of 88409393280000 is 8239390488.

It is a happy number.

It can be written as a sum of positive squares in 20 ways, for example, as 84514043695104 + 3895349584896 = 9193152^2 + 1973664^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 3968628862 + ... + 3968651138.

Almost surely, 2^{88409393280000} is an apocalyptic number.

88409393280000 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 88409393280000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175016997199044).

88409393280000 is an abundant number, since it is smaller than the sum of its proper divisors (261624601118088).

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

88409393280000 is a wasteful number, since it uses less digits than its factorization.

88409393280000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22389 (or 22353 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 88409393280000 in words is "eighty-eight trillion, four hundred nine billion, three hundred ninety-three million, two hundred eighty thousand".