1973299408080 has 1280 divisors, whose sum is σ = 8379303690240. Its totient is φ = 370925568000.

The previous prime is 1973299408079. The next prime is 1973299408121. The reversal of 1973299408080 is 808049923791.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 3283359780 + ... + 3283360380.

It is an arithmetic number, because the mean of its divisors is an integer number (6546331008).

Almost surely, 2^{1973299408080} is an apocalyptic number.

1973299408080 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 1973299408080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4189651845120).

1973299408080 is an abundant number, since it is smaller than the sum of its proper divisors (6406004282160).

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

1973299408080 is a wasteful number, since it uses less digits than its factorization.

1973299408080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 900 (or 894 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 60.

The spelling of 1973299408080 in words is "one trillion, nine hundred seventy-three billion, two hundred ninety-nine million, four hundred eight thousand, eighty".