1977558016 has 88 divisors (see below), whose sum is σ = 4539427200. Its totient is φ = 843497472.

The previous prime is 1977557993. The next prime is 1977558029. The reversal of 1977558016 is 6108557791.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1884660 + ... + 1885708.

It is an arithmetic number, because the mean of its divisors is an integer number (51584400).

Almost surely, 2^1977558016 is an apocalyptic number.

1977558016 is a gapful number since it is divisible by the number (16) 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 1977558016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2269713600).

1977558016 is an abundant number, since it is smaller than the sum of its proper divisors (2561869184).

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

1977558016 is a wasteful number, since it uses less digits than its factorization.

1977558016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1339 (or 1321 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 49.

The square root of 1977558016 is about 44469.7427022015. The cubic root of 1977558016 is about 1255.1907914566.

The spelling of 1977558016 in words is "one billion, nine hundred seventy-seven million, five hundred fifty-eight thousand, sixteen".