1972853660160 has 640 divisors, whose sum is σ = 7109206410240. Its totient is φ = 518536691712.

The previous prime is 1972853660143. The next prime is 1972853660161. The reversal of 1972853660160 is 610663582791.

1972853660160 is a `hidden beast` number, since 1 + 9 + 7 + 28 + 5 + 3 + 6 + 601 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (640).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 1972853660097 and 1972853660106.

It is not an unprimeable number, because it can be changed into a prime (1972853660161) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1486701417 + ... + 1486702743.

It is an arithmetic number, because the mean of its divisors is an integer number (11108135016).

Almost surely, 2^{1972853660160} is an apocalyptic number.

1972853660160 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 1972853660160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554603205120).

1972853660160 is an abundant number, since it is smaller than the sum of its proper divisors (5136352750080).

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

1972853660160 is a wasteful number, since it uses less digits than its factorization.

1972853660160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 1972853660160 in words is "one trillion, nine hundred seventy-two billion, eight hundred fifty-three million, six hundred sixty thousand, one hundred sixty".