1960557781248 has 432 divisors, whose sum is σ = 6227222601600. Its totient is φ = 588305203200.

The previous prime is 1960557781153. The next prime is 1960557781261. The reversal of 1960557781248 is 8421877550691.

1960557781248 is a `hidden beast` number, since 1 + 9 + 6 + 0 + 5 + 577 + 8 + 12 + 48 = 666.

It is a super-2 number, since 2×1960557781248² (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 47 ways as a sum of consecutive naturals, for example, 1215472090 + ... + 1215473702.

Almost surely, 2^{1960557781248} is an apocalyptic number.

1960557781248 is a gapful number since it is divisible by the number (18) 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 1960557781248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3113611300800).

1960557781248 is an abundant number, since it is smaller than the sum of its proper divisors (4266664820352).

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

1960557781248 is a wasteful number, since it uses less digits than its factorization.

1960557781248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2086 (or 2069 counting only the distinct ones).

The product of its (nonzero) digits is 33868800, while the sum is 63.

The spelling of 1960557781248 in words is "one trillion, nine hundred sixty billion, five hundred fifty-seven million, seven hundred eighty-one thousand, two hundred forty-eight".