88426840320 has 1152 divisors, whose sum is σ = 399103918080. Its totient is φ = 18035343360.

The previous prime is 88426840319. The next prime is 88426840343. The reversal of 88426840320 is 2304862488.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 97493307 + ... + 97494213.

Almost surely, 2^88426840320 is an apocalyptic number.

88426840320 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 88426840320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199551959040).

88426840320 is an abundant number, since it is smaller than the sum of its proper divisors (310677077760).

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

88426840320 is a wasteful number, since it uses less digits than its factorization.

88426840320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 968 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 88426840320 in words is "eighty-eight billion, four hundred twenty-six million, eight hundred forty thousand, three hundred twenty".