1948626626560 has 192 divisors, whose sum is σ = 4953559665600. Its totient is φ = 733161455616.

The previous prime is 1948626626549. The next prime is 1948626626629. The reversal of 1948626626560 is 656266268491.

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, 550613271 + ... + 550616809.

It is an arithmetic number, because the mean of its divisors is an integer number (25799789925).

Almost surely, 2^{1948626626560} is an apocalyptic number.

1948626626560 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 1948626626560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2476779832800).

1948626626560 is an abundant number, since it is smaller than the sum of its proper divisors (3004933039040).

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

1948626626560 is a wasteful number, since it uses less digits than its factorization.

1948626626560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6746 (or 6726 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 61.

The spelling of 1948626626560 in words is "one trillion, nine hundred forty-eight billion, six hundred twenty-six million, six hundred twenty-six thousand, five hundred sixty".