1988370126624 has 576 divisors, whose sum is σ = 6672206701440. Its totient is φ = 515022520320.

The previous prime is 1988370126607. The next prime is 1988370126629. The reversal of 1988370126624 is 4266210738891.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is not an unprimeable number, because it can be changed into a prime (1988370126629) 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 95 ways as a sum of consecutive naturals, for example, 201716704 + ... + 201726560.

It is an arithmetic number, because the mean of its divisors is an integer number (11583692190).

Almost surely, 2^{1988370126624} is an apocalyptic number.

1988370126624 is a gapful number since it is divisible by the number (14) 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 1988370126624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3336103350720).

1988370126624 is an abundant number, since it is smaller than the sum of its proper divisors (4683836574816).

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

1988370126624 is a wasteful number, since it uses less digits than its factorization.

1988370126624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10001 (or 9986 counting only the distinct ones).

The product of its (nonzero) digits is 6967296, while the sum is 57.

The spelling of 1988370126624 in words is "one trillion, nine hundred eighty-eight billion, three hundred seventy million, one hundred twenty-six thousand, six hundred twenty-four".