88123404785760 has 1344 divisors, whose sum is σ = 341829737625600. Its totient is φ = 21362267013120.

The previous prime is 88123404785719. The next prime is 88123404785809. The reversal of 88123404785760 is 6758740432188.

It is a happy number.

88123404785760 is a `hidden beast` number, since 8 + 8 + 12 + 3 + 4 + 0 + 47 + 8 + 576 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 41983517191 + ... + 41983519289.

It is an arithmetic number, because the mean of its divisors is an integer number (254337602400).

Almost surely, 2^{88123404785760} is an apocalyptic number.

88123404785760 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 88123404785760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170914868812800).

88123404785760 is an abundant number, since it is smaller than the sum of its proper divisors (253706332839840).

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

88123404785760 is a wasteful number, since it uses less digits than its factorization.

88123404785760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2863 (or 2840 counting only the distinct ones).

The product of its (nonzero) digits is 72253440, while the sum is 63.

The spelling of 88123404785760 in words is "eighty-eight trillion, one hundred twenty-three billion, four hundred four million, seven hundred eighty-five thousand, seven hundred sixty".