1981830195072 has 768 divisors, whose sum is σ = 7407505036800. Its totient is φ = 510479843328.

The previous prime is 1981830195053. The next prime is 1981830195091. The reversal of 1981830195072 is 2705910381891.

1981830195072 is a `hidden beast` number, since 1 + 98 + 1 + 8 + 30 + 19 + 507 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (1981830195053) and next prime (1981830195091).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175797628 + ... + 175808900.

It is an arithmetic number, because the mean of its divisors is an integer number (9645188850).

Almost surely, 2^{1981830195072} is an apocalyptic number.

1981830195072 is a gapful number since it is divisible by the number (12) 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 1981830195072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3703752518400).

1981830195072 is an abundant number, since it is smaller than the sum of its proper divisors (5425674841728).

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

1981830195072 is a wasteful number, since it uses less digits than its factorization.

1981830195072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11372 (or 11341 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 54.

The spelling of 1981830195072 in words is "one trillion, nine hundred eighty-one billion, eight hundred thirty million, one hundred ninety-five thousand, seventy-two".