1496792056320 has 1920 divisors, whose sum is σ = 6334086021120. Its totient is φ = 322486272000.

The previous prime is 1496792056303. The next prime is 1496792056343. The reversal of 1496792056320 is 236502976941.

1496792056320 is a `hidden beast` number, since 1 + 4 + 9 + 6 + 79 + 2 + 0 + 563 + 2 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 5523217785 + ... + 5523218055.

It is an arithmetic number, because the mean of its divisors is an integer number (3299003136).

Almost surely, 2^{1496792056320} is an apocalyptic number.

1496792056320 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 1496792056320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3167043010560).

1496792056320 is an abundant number, since it is smaller than the sum of its proper divisors (4837293964800).

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

1496792056320 is a wasteful number, since it uses less digits than its factorization.

1496792056320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 1496792056320 in words is "one trillion, four hundred ninety-six billion, seven hundred ninety-two million, fifty-six thousand, three hundred twenty".