88387604585280 has 2240 divisors, whose sum is σ = 423323345668608. Its totient is φ = 16906163650560.

The previous prime is 88387604585279. The next prime is 88387604585351. The reversal of 88387604585280 is 8258540678388.

88387604585280 is a `hidden beast` number, since 8 + 8 + 3 + 8 + 7 + 604 + 5 + 8 + 5 + 2 + 8 + 0 = 666.

88387604585280 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (2240).

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 = 88387604585199 and 88387604585208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 9677823594 + ... + 9677832726.

Almost surely, 2^{88387604585280} is an apocalyptic number.

88387604585280 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 88387604585280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211661672834304).

88387604585280 is an abundant number, since it is smaller than the sum of its proper divisors (334935741083328).

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

88387604585280 is a wasteful number, since it uses less digits than its factorization.

88387604585280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9566 (or 9547 counting only the distinct ones).

The product of its (nonzero) digits is 825753600, while the sum is 72.

The spelling of 88387604585280 in words is "eighty-eight trillion, three hundred eighty-seven billion, six hundred four million, five hundred eighty-five thousand, two hundred eighty".