1648407005880 has 128 divisors (see below), whose sum is σ = 5022914112000. Its totient is φ = 432679306752.

The previous prime is 1648407005849. The next prime is 1648407005977. The reversal of 1648407005880 is 885007048461.

It is a super-3 number, since 3×1648407005880³ (a number of 38 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10397446 + ... + 10554794.

It is an arithmetic number, because the mean of its divisors is an integer number (39241516500).

Almost surely, 2^{1648407005880} is an apocalyptic number.

1648407005880 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 1648407005880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2511457056000).

1648407005880 is an abundant number, since it is smaller than the sum of its proper divisors (3374507106120).

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

1648407005880 is a wasteful number, since it uses less digits than its factorization.

1648407005880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158733 (or 158729 counting only the distinct ones).

The product of its (nonzero) digits is 1720320, while the sum is 51.

The spelling of 1648407005880 in words is "one trillion, six hundred forty-eight billion, four hundred seven million, five thousand, eight hundred eighty".