1292961077056 has 168 divisors, whose sum is σ = 2844768031560. Its totient is φ = 582606520320.

The previous prime is 1292961077053. The next prime is 1292961077077. The reversal of 1292961077056 is 6507701692921.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 99361126656 + 1193599950400 = 315216^2 + 1092520^2 .

It is a junction number, because it is equal to n+sod(n) for n = 1292961076988 and 1292961077006.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1292961077053) 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, 473784300 + ... + 473787028.

It is an arithmetic number, because the mean of its divisors is an integer number (16933143045).

Almost surely, 2^{1292961077056} is an apocalyptic number.

1292961077056 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 1292961077056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1422384015780).

1292961077056 is an abundant number, since it is smaller than the sum of its proper divisors (1551806954504).

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

1292961077056 is a wasteful number, since it uses less digits than its factorization.

1292961077056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3273 (or 3252 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 55.

The spelling of 1292961077056 in words is "one trillion, two hundred ninety-two billion, nine hundred sixty-one million, seventy-seven thousand, fifty-six".