1977012111360 has 1536 divisors, whose sum is σ = 8216950210560. Its totient is φ = 397934592000.

The previous prime is 1977012111331. The next prime is 1977012111397. The reversal of 1977012111360 is 631112107791.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1717646785 + ... + 1717647935.

It is an arithmetic number, because the mean of its divisors is an integer number (5349576960).

Almost surely, 2^{1977012111360} is an apocalyptic number.

1977012111360 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 1977012111360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108475105280).

1977012111360 is an abundant number, since it is smaller than the sum of its proper divisors (6239938099200).

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

1977012111360 is a wasteful number, since it uses less digits than its factorization.

1977012111360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1245 (or 1225 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 39.

The spelling of 1977012111360 in words is "one trillion, nine hundred seventy-seven billion, twelve million, one hundred eleven thousand, three hundred sixty".