88381404720 has 640 divisors, whose sum is σ = 387789465600. Its totient is φ = 18011455488.

The previous prime is 88381404719. The next prime is 88381404731. The reversal of 88381404720 is 2740418388.

88381404720 is a `hidden beast` number, since 8 + 8 + 38 + 140 + 472 + 0 = 666.

It is a super-2 number, since 2×88381404720² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4874712 + ... + 4892808.

It is an arithmetic number, because the mean of its divisors is an integer number (605921040).

Almost surely, 2^88381404720 is an apocalyptic number.

88381404720 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 88381404720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193894732800).

88381404720 is an abundant number, since it is smaller than the sum of its proper divisors (299408060880).

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

88381404720 is a wasteful number, since it uses less digits than its factorization.

88381404720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18162 (or 18150 counting only the distinct ones).

The product of its (nonzero) digits is 344064, while the sum is 45.

The spelling of 88381404720 in words is "eighty-eight billion, three hundred eighty-one million, four hundred four thousand, seven hundred twenty".