988826952960 has 3456 divisors, whose sum is σ = 4859793469440. Its totient is φ = 186325401600.

The previous prime is 988826952847. The next prime is 988826952961. The reversal of 988826952960 is 69259628889.

988826952960 is a `hidden beast` number, since 98 + 8 + 8 + 2 + 6 + 9 + 529 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (988826952961) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 18657112294 + ... + 18657112346.

It is an arithmetic number, because the mean of its divisors is an integer number (1406190240).

Almost surely, 2^988826952960 is an apocalyptic number.

988826952960 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 988826952960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429896734720).

988826952960 is an abundant number, since it is smaller than the sum of its proper divisors (3870966516480).

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

988826952960 is a wasteful number, since it uses less digits than its factorization.

988826952960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 268738560, while the sum is 72.

The spelling of 988826952960 in words is "nine hundred eighty-eight billion, eight hundred twenty-six million, nine hundred fifty-two thousand, nine hundred sixty".