88265479680 has 1600 divisors, whose sum is σ = 395709494400. Its totient is φ = 18728091648.

The previous prime is 88265479669. The next prime is 88265479681. The reversal of 88265479680 is 8697456288.

88265479680 is a `hidden beast` number, since 8 + 8 + 2 + 6 + 547 + 9 + 6 + 80 = 666.

It is a super-3 number, since 3×88265479680³ (a number of 34 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (88265479681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 1209116124 + ... + 1209116196.

It is an arithmetic number, because the mean of its divisors is an integer number (247318434).

Almost surely, 2^88265479680 is an apocalyptic number.

88265479680 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 88265479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197854747200).

88265479680 is an abundant number, since it is smaller than the sum of its proper divisors (307444014720).

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

88265479680 is an equidigital number, since it uses as much as digits as its factorization.

88265479680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 63.

The spelling of 88265479680 in words is "eighty-eight billion, two hundred sixty-five million, four hundred seventy-nine thousand, six hundred eighty".