1296736801920 has 448 divisors, whose sum is σ = 5311888712640. Its totient is φ = 296396236800.

The previous prime is 1296736801907. The next prime is 1296736801951. The reversal of 1296736801920 is 291086376921.

1296736801920 is a `hidden beast` number, since 1 + 2 + 96 + 7 + 368 + 0 + 192 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3067395 + ... + 3464445.

Almost surely, 2^{1296736801920} is an apocalyptic number.

1296736801920 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 1296736801920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2655944356320).

1296736801920 is an abundant number, since it is smaller than the sum of its proper divisors (4015151910720).

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

1296736801920 is an frugal number, since it uses more digits than its factorization.

1296736801920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 397095 (or 397068 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 1296736801920 in words is "one trillion, two hundred ninety-six billion, seven hundred thirty-six million, eight hundred one thousand, nine hundred twenty".