1979677140100 has 81 divisors (see below), whose sum is σ = 4722308193253. Its totient is φ = 719826316000.

The previous prime is 1979677140083. The next prime is 1979677140113. The reversal of 1979677140100 is 10417769791.

The square root of 1979677140100 is 1407010.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 712683770436 + 1266993369664 = 844206^2 + 1125608^2 .

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 154764705 + ... + 154777495.

Almost surely, 2^{1979677140100} is an apocalyptic number.

1979677140100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1979677140100 is the 1407010-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1979677140100

1979677140100 is an abundant number, since it is smaller than the sum of its proper divisors (2742631053153).

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

1979677140100 is an equidigital number, since it uses as much as digits as its factorization.

1979677140100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25618 (or 12809 counting only the distinct ones).

The product of its (nonzero) digits is 666792, while the sum is 52.

The spelling of 1979677140100 in words is "one trillion, nine hundred seventy-nine billion, six hundred seventy-seven million, one hundred forty thousand, one hundred".