1988712788400 has 1920 divisors, whose sum is σ = 8369464320000. Its totient is φ = 444075540480.

The previous prime is 1988712788393. The next prime is 1988712788411. The reversal of 1988712788400 is 48872178891.

1988712788400 is a `hidden beast` number, since 1 + 9 + 88 + 71 + 2 + 7 + 88 + 400 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 9993531501 + ... + 9993531699.

It is an arithmetic number, because the mean of its divisors is an integer number (4359096000).

Almost surely, 2^{1988712788400} is an apocalyptic number.

1988712788400 is a gapful number since it is divisible by the number (10) 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 1988712788400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4184732160000).

1988712788400 is an abundant number, since it is smaller than the sum of its proper divisors (6380751531600).

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

1988712788400 is a wasteful number, since it uses less digits than its factorization.

1988712788400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 371 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 63.

The spelling of 1988712788400 in words is "one trillion, nine hundred eighty-eight billion, seven hundred twelve million, seven hundred eighty-eight thousand, four hundred".