1282792956480 has 784 divisors, whose sum is σ = 5282902352640. Its totient is φ = 290479509504.

The previous prime is 1282792956463. The next prime is 1282792956499. The reversal of 1282792956480 is 846592972821.

1282792956480 is a `hidden beast` number, since 1 + 2 + 82 + 7 + 9 + 29 + 56 + 480 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 177989037 + ... + 177996243.

Almost surely, 2^{1282792956480} is an apocalyptic number.

1282792956480 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 1282792956480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2641451176320).

1282792956480 is an abundant number, since it is smaller than the sum of its proper divisors (4000109396160).

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

1282792956480 is an equidigital number, since it uses as much as digits as its factorization.

1282792956480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7358 (or 7333 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 63.

The spelling of 1282792956480 in words is "one trillion, two hundred eighty-two billion, seven hundred ninety-two million, nine hundred fifty-six thousand, four hundred eighty".