1292792256000 has 960 divisors, whose sum is σ = 5493790089216. Its totient is φ = 285935616000.

The previous prime is 1292792255987. The next prime is 1292792256047. The reversal of 1292792256000 is 6522972921.

1292792256000 is a `hidden beast` number, since 12 + 9 + 2 + 7 + 9 + 2 + 25 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 124986829 + ... + 124997171.

Almost surely, 2^{1292792256000} is an apocalyptic number.

1292792256000 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 1292792256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2746895044608).

1292792256000 is an abundant number, since it is smaller than the sum of its proper divisors (4200997833216).

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

1292792256000 is a wasteful number, since it uses less digits than its factorization.

1292792256000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10420 (or 10391 counting only the distinct ones).

The product of its (nonzero) digits is 272160, while the sum is 45.

The spelling of 1292792256000 in words is "one trillion, two hundred ninety-two billion, seven hundred ninety-two million, two hundred fifty-six thousand".