988753858560 has 2496 divisors, whose sum is σ = 4327741716480. Its totient is φ = 214035333120.

The previous prime is 988753858537. The next prime is 988753858733. The reversal of 988753858560 is 65858357889.

988753858560 is a `hidden beast` number, since 9 + 8 + 8 + 7 + 5 + 3 + 8 + 58 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 31895285745 + ... + 31895285775.

It is an arithmetic number, because the mean of its divisors is an integer number (1733870880).

Almost surely, 2^988753858560 is an apocalyptic number.

988753858560 is a gapful number since it is divisible by the number (90) 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 988753858560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2163870858240).

988753858560 is an abundant number, since it is smaller than the sum of its proper divisors (3338987857920).

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

988753858560 is a wasteful number, since it uses less digits than its factorization.

988753858560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 580608000, while the sum is 72.

The spelling of 988753858560 in words is "nine hundred eighty-eight billion, seven hundred fifty-three million, eight hundred fifty-eight thousand, five hundred sixty".