88720410240 has 1024 divisors, whose sum is σ = 395518464000. Its totient is φ = 18258739200.

The previous prime is 88720410221. The next prime is 88720410277. The reversal of 88720410240 is 4201402788.

It is a super-2 number, since 2×88720410240² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 88720410195 and 88720410204.

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 174303106 + ... + 174303614.

It is an arithmetic number, because the mean of its divisors is an integer number (386248500).

Almost surely, 2^88720410240 is an apocalyptic number.

88720410240 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 88720410240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197759232000).

88720410240 is an abundant number, since it is smaller than the sum of its proper divisors (306798053760).

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

88720410240 is a wasteful number, since it uses less digits than its factorization.

88720410240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 668 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The spelling of 88720410240 in words is "eighty-eight billion, seven hundred twenty million, four hundred ten thousand, two hundred forty".