1010979661392 has 240 divisors, whose sum is σ = 2918725397952. Its totient is φ = 326543892480.

The previous prime is 1010979661381. The next prime is 1010979661409. The reversal of 1010979661392 is 2931669790101.

1010979661392 is a `hidden beast` number, since 1 + 0 + 10 + 9 + 7 + 9 + 6 + 613 + 9 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 193412283 + ... + 193417509.

Almost surely, 2^{1010979661392} is an apocalyptic number.

1010979661392 is a gapful number since it is divisible by the number (12) 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 1010979661392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1459362698976).

1010979661392 is an abundant number, since it is smaller than the sum of its proper divisors (1907745736560).

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

1010979661392 is a wasteful number, since it uses less digits than its factorization.

1010979661392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 5617 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 1010979661392 in words is "one trillion, ten billion, nine hundred seventy-nine million, six hundred sixty-one thousand, three hundred ninety-two".