988838905572000 has 2592 divisors, whose sum is σ = 4265131784868864. Its totient is φ = 216088798464000.

The previous prime is 988838905571971. The next prime is 988838905572013. The reversal of 988838905572000 is 275509838889.

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

It is a self number, because there is not a number n which added to its sum of digits gives 988838905572000.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2359997387791 + ... + 2359997388209.

It is an arithmetic number, because the mean of its divisors is an integer number (1645498373792).

Almost surely, 2^{988838905572000} is an apocalyptic number.

988838905572000 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 988838905572000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132565892434432).

988838905572000 is an abundant number, since it is smaller than the sum of its proper divisors (3276292879296864).

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

988838905572000 is a wasteful number, since it uses less digits than its factorization.

988838905572000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1017 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 988838905572000 in words is "nine hundred eighty-eight trillion, eight hundred thirty-eight billion, nine hundred five million, five hundred seventy-two thousand".