1648105979520 has 2048 divisors, whose sum is σ = 7581602488320. Its totient is φ = 293024563200.

The previous prime is 1648105979489. The next prime is 1648105979539. The reversal of 1648105979520 is 259795018461.

It is a happy number.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2385102375 + ... + 2385103065.

It is an arithmetic number, because the mean of its divisors is an integer number (3701954340).

Almost surely, 2^{1648105979520} is an apocalyptic number.

1648105979520 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 1648105979520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3790801244160).

1648105979520 is an abundant number, since it is smaller than the sum of its proper divisors (5933496508800).

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

1648105979520 is a wasteful number, since it uses less digits than its factorization.

1648105979520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 834 (or 822 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 57.

The spelling of 1648105979520 in words is "one trillion, six hundred forty-eight billion, one hundred five million, nine hundred seventy-nine thousand, five hundred twenty".