1988061926400 has 1584 divisors, whose sum is σ = 8531605817280. Its totient is φ = 453338726400.

The previous prime is 1988061926377. The next prime is 1988061926401. The reversal of 1988061926400 is 46291608891.

1988061926400 is a `hidden beast` number, since 1 + 98 + 8 + 0 + 61 + 92 + 6 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

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 (1988061926401) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1163288746 + ... + 1163290454.

Almost surely, 2^{1988061926400} is an apocalyptic number.

1988061926400 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 1988061926400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4265802908640).

1988061926400 is an abundant number, since it is smaller than the sum of its proper divisors (6543543890880).

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

1988061926400 is a wasteful number, since it uses less digits than its factorization.

1988061926400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1782 (or 1747 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 1988061926400 in words is "one trillion, nine hundred eighty-eight billion, sixty-one million, nine hundred twenty-six thousand, four hundred".