1988527720032 has 576 divisors, whose sum is σ = 6913887321600. Its totient is φ = 554204851200.

The previous prime is 1988527719989. The next prime is 1988527720037. The reversal of 1988527720032 is 2300277258891.

1988527720032 is a `hidden beast` number, since 1 + 9 + 88 + 527 + 7 + 2 + 0 + 0 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1988527720037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 401639157 + ... + 401644107.

It is an arithmetic number, because the mean of its divisors is an integer number (12003276600).

Almost surely, 2^{1988527720032} is an apocalyptic number.

1988527720032 is a gapful number since it is divisible by the number (12) 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 1988527720032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3456943660800).

1988527720032 is an abundant number, since it is smaller than the sum of its proper divisors (4925359601568).

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

1988527720032 is a wasteful number, since it uses less digits than its factorization.

1988527720032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5216 (or 5195 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 1988527720032 in words is "one trillion, nine hundred eighty-eight billion, five hundred twenty-seven million, seven hundred twenty thousand, thirty-two".