1945579056960 has 1008 divisors, whose sum is σ = 8363399470272. Its totient is φ = 380476293120.

The previous prime is 1945579056937. The next prime is 1945579056973. The reversal of 1945579056960 is 696509755491.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a junction number, because it is equal to n+sod(n) for n = 1945579056891 and 1945579056900.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 96751227 + ... + 96771333.

It is an arithmetic number, because the mean of its divisors is an integer number (8297023284).

Almost surely, 2^{1945579056960} is an apocalyptic number.

1945579056960 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 1945579056960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4181699735136).

1945579056960 is an abundant number, since it is smaller than the sum of its proper divisors (6417820413312).

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

1945579056960 is a wasteful number, since it uses less digits than its factorization.

1945579056960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20180 (or 20152 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 66.

The spelling of 1945579056960 in words is "one trillion, nine hundred forty-five billion, five hundred seventy-nine million, fifty-six thousand, nine hundred sixty".