1956748421760 has 768 divisors, whose sum is σ = 7412180227200. Its totient is φ = 437214412800.

The previous prime is 1956748421759. The next prime is 1956748421767. The reversal of 1956748421760 is 671248476591.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 1956748421694 and 1956748421703.

It is not an unprimeable number, because it can be changed into a prime (1956748421767) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 163314970 + ... + 163326950.

Almost surely, 2^{1956748421760} is an apocalyptic number.

1956748421760 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 1956748421760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3706090113600).

1956748421760 is an abundant number, since it is smaller than the sum of its proper divisors (5455431805440).

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

1956748421760 is a wasteful number, since it uses less digits than its factorization.

1956748421760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12081 (or 12058 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 1956748421760 in words is "one trillion, nine hundred fifty-six billion, seven hundred forty-eight million, four hundred twenty-one thousand, seven hundred sixty".