1981707030900 has 180 divisors, whose sum is σ = 6428875629792. Its totient is φ = 528046827840.

The previous prime is 1981707030859. The next prime is 1981707030917. The reversal of 1981707030900 is 90307071891.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 10460419 + ... + 10648181.

Almost surely, 2^{1981707030900} is an apocalyptic number.

1981707030900 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 1981707030900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214437814896).

1981707030900 is an abundant number, since it is smaller than the sum of its proper divisors (4447168598892).

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

1981707030900 is a wasteful number, since it uses less digits than its factorization.

1981707030900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 189092 (or 189076 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 45.

The spelling of 1981707030900 in words is "one trillion, nine hundred eighty-one billion, seven hundred seven million, thirty thousand, nine hundred".