1988167680576 has 945 divisors, whose sum is σ = 7375088328153. Its totient is φ = 511669509120.

The previous prime is 1988167680557. The next prime is 1988167680581. The reversal of 1988167680576 is 6750867618891.

The square root of 1988167680576 is 1410024.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1385743334976 + 602424345600 = 1177176^2 + 776160^2 .

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 134 ways as a sum of consecutive naturals, for example, 18240070410 + ... + 18240070518.

Almost surely, 2^{1988167680576} is an apocalyptic number.

1988167680576 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1988167680576 is the 1410024-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1988167680576

1988167680576 is an abundant number, since it is smaller than the sum of its proper divisors (5386920647577).

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

1988167680576 is an equidigital number, since it uses as much as digits as its factorization.

1988167680576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 132 counting only the distinct ones).

The product of its (nonzero) digits is 243855360, while the sum is 72.

The spelling of 1988167680576 in words is "one trillion, nine hundred eighty-eight billion, one hundred sixty-seven million, six hundred eighty thousand, five hundred seventy-six".