1948679775280 has 80 divisors (see below), whose sum is σ = 5356469574720. Its totient is φ = 645080196096.

The previous prime is 1948679775209. The next prime is 1948679775331. The reversal of 1948679775280 is 825779768491.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1948679775280² (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59980059 + ... + 60012538.

It is an arithmetic number, because the mean of its divisors is an integer number (66955869684).

Almost surely, 2^{1948679775280} is an apocalyptic number.

1948679775280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1948679775280 is an abundant number, since it is smaller than the sum of its proper divisors (3407789799440).

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

1948679775280 is a wasteful number, since it uses less digits than its factorization.

1948679775280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119992646 (or 119992640 counting only the distinct ones).

The product of its (nonzero) digits is 426746880, while the sum is 73.

The spelling of 1948679775280 in words is "one trillion, nine hundred forty-eight billion, six hundred seventy-nine million, seven hundred seventy-five thousand, two hundred eighty".