88336765440 has 1920 divisors, whose sum is σ = 421925137920. Its totient is φ = 16515072000.

The previous prime is 88336765427. The next prime is 88336765441. The reversal of 88336765440 is 4456763388.

88336765440 is a `hidden beast` number, since 8 + 8 + 33 + 67 + 6 + 544 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is not an unprimeable number, because it can be changed into a prime (88336765441) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 874621390 + ... + 874621490.

It is an arithmetic number, because the mean of its divisors is an integer number (219752676).

Almost surely, 2^88336765440 is an apocalyptic number.

88336765440 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 88336765440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210962568960).

88336765440 is an abundant number, since it is smaller than the sum of its proper divisors (333588372480).

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

88336765440 is a wasteful number, since it uses less digits than its factorization.

88336765440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 175 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

It can be divided in two parts, 88336 and 765440, that added together give a square (853776 = 924²).

The spelling of 88336765440 in words is "eighty-eight billion, three hundred thirty-six million, seven hundred sixty-five thousand, four hundred forty".