88405982280 has 1920 divisors, whose sum is σ = 411886632960. Its totient is φ = 16765056000.

The previous prime is 88405982267. The next prime is 88405982297. The reversal of 88405982280 is 8228950488.

It is a happy number.

88405982280 is a `hidden beast` number, since 8 + 8 + 40 + 598 + 2 + 2 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 1245154645 + ... + 1245154715.

It is an arithmetic number, because the mean of its divisors is an integer number (214524288).

Almost surely, 2^88405982280 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 88405982280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205943316480).

88405982280 is an abundant number, since it is smaller than the sum of its proper divisors (323480650680).

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

88405982280 is a wasteful number, since it uses less digits than its factorization.

88405982280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 173 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 54.

The spelling of 88405982280 in words is "eighty-eight billion, four hundred five million, nine hundred eighty-two thousand, two hundred eighty".