1480893820560 has 1600 divisors, whose sum is σ = 6577571151360. Its totient is φ = 299912232960.

The previous prime is 1480893820547. The next prime is 1480893820591. The reversal of 1480893820560 is 650283980841.

1480893820560 is a `hidden beast` number, since 1 + 48 + 0 + 8 + 9 + 38 + 2 + 0 + 560 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 1480893820497 and 1480893820506.

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 3970224534 + ... + 3970224906.

Almost surely, 2^{1480893820560} is an apocalyptic number.

1480893820560 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 1480893820560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3288785575680).

1480893820560 is an abundant number, since it is smaller than the sum of its proper divisors (5096677330800).

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

1480893820560 is a wasteful number, since it uses less digits than its factorization.

1480893820560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 583 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 1480893820560 in words is "one trillion, four hundred eighty billion, eight hundred ninety-three million, eight hundred twenty thousand, five hundred sixty".