1981716937200 has 4800 divisors, whose sum is σ = 10314589824000. Its totient is φ = 358467379200.

The previous prime is 1981716937199. The next prime is 1981716937247. The reversal of 1981716937200 is 27396171891.

It is a happy number.

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 959 ways as a sum of consecutive naturals, for example, 46086440379 + ... + 46086440421.

It is an arithmetic number, because the mean of its divisors is an integer number (2148872880).

Almost surely, 2^{1981716937200} is an apocalyptic number.

1981716937200 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 1981716937200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5157294912000).

1981716937200 is an abundant number, since it is smaller than the sum of its proper divisors (8332872886800).

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

1981716937200 is a wasteful number, since it uses less digits than its factorization.

1981716937200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 1143072, while the sum is 54.

The spelling of 1981716937200 in words is "one trillion, nine hundred eighty-one billion, seven hundred sixteen million, nine hundred thirty-seven thousand, two hundred".