1296905955840 has 1600 divisors, whose sum is σ = 5288675217408. Its totient is φ = 303495413760.

The previous prime is 1296905955817. The next prime is 1296905955853. The reversal of 1296905955840 is 485595096921.

1296905955840 is a `hidden beast` number, since 1 + 29 + 6 + 9 + 0 + 59 + 558 + 4 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 10211857857 + ... + 10211857983.

Almost surely, 2^{1296905955840} is an apocalyptic number.

1296905955840 is a gapful number since it is divisible by the number (10) 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 1296905955840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2644337608704).

1296905955840 is an abundant number, since it is smaller than the sum of its proper divisors (3991769261568).

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

1296905955840 is an equidigital number, since it uses as much as digits as its factorization.

1296905955840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 185 counting only the distinct ones).

The product of its (nonzero) digits is 34992000, while the sum is 63.

The spelling of 1296905955840 in words is "one trillion, two hundred ninety-six billion, nine hundred five million, nine hundred fifty-five thousand, eight hundred forty".