1026658161792 has 192 divisors, whose sum is σ = 3131958243960. Its totient is φ = 321691484160.

The previous prime is 1026658161761. The next prime is 1026658161797. The reversal of 1026658161792 is 2971618566201.

It is a happy number.

1026658161792 is a `hidden beast` number, since 10 + 2 + 6 + 6 + 5 + 8 + 1 + 617 + 9 + 2 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 660032755776 + 366625406016 = 812424^2 + 605496^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (1026658161797) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16046538 + ... + 16110390.

Almost surely, 2^{1026658161792} is an apocalyptic number.

1026658161792 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 1026658161792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1565979121980).

1026658161792 is an abundant number, since it is smaller than the sum of its proper divisors (2105300082168).

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

1026658161792 is a wasteful number, since it uses less digits than its factorization.

1026658161792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64711 (or 64696 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 1026658161792 in words is "one trillion, twenty-six billion, six hundred fifty-eight million, one hundred sixty-one thousand, seven hundred ninety-two".