1977384960000 has 950 divisors, whose sum is σ = 7431846868050. Its totient is φ = 523763712000.

The previous prime is 1977384959929. The next prime is 1977384960007. The reversal of 1977384960000 is 694837791.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 1202759663616 + 774625296384 = 1096704^2 + 880128^2 .

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 (1977384960007) by changing a digit.

It is a polite number, since it can be written in 49 ways as a sum of consecutive naturals, for example, 13271039926 + ... + 13271040074.

Almost surely, 2^{1977384960000} is an apocalyptic number.

1977384960000 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 1977384960000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3715923434025).

1977384960000 is an abundant number, since it is smaller than the sum of its proper divisors (5454461908050).

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

1977384960000 is an frugal number, since it uses more digits than its factorization.

1977384960000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 217 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 2286144, while the sum is 54.

The spelling of 1977384960000 in words is "one trillion, nine hundred seventy-seven billion, three hundred eighty-four million, nine hundred sixty thousand".