88980889680 has 240 divisors, whose sum is σ = 324703741440. Its totient is φ = 21754137600.

The previous prime is 88980889639. The next prime is 88980889691. The reversal of 88980889680 is 8698808988.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 88980889599 and 88980889608.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 319170 + ... + 528990.

It is an arithmetic number, because the mean of its divisors is an integer number (1352932256).

Almost surely, 2^88980889680 is an apocalyptic number.

88980889680 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 88980889680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162351870720).

88980889680 is an abundant number, since it is smaller than the sum of its proper divisors (235722851760).

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

88980889680 is a wasteful number, since it uses less digits than its factorization.

88980889680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 209890 (or 209881 counting only the distinct ones).

The product of its (nonzero) digits is 127401984, while the sum is 72.

The spelling of 88980889680 in words is "eighty-eight billion, nine hundred eighty million, eight hundred eighty-nine thousand, six hundred eighty".