1970933852160 has 3456 divisors, whose sum is σ = 9561873484800. Its totient is φ = 381250437120.

The previous prime is 1970933852131. The next prime is 1970933852219. The reversal of 1970933852160 is 612583390791.

1970933852160 is a `hidden beast` number, since 1 + 97 + 0 + 9 + 338 + 5 + 216 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

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 = 1970933852097 and 1970933852106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63578511345 + ... + 63578511375.

It is an arithmetic number, because the mean of its divisors is an integer number (2766745800).

Almost surely, 2^{1970933852160} is an apocalyptic number.

1970933852160 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 1970933852160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4780936742400).

1970933852160 is an abundant number, since it is smaller than the sum of its proper divisors (7590939632640).

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

1970933852160 is a wasteful number, since it uses less digits than its factorization.

1970933852160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 1970933852160 in words is "one trillion, nine hundred seventy billion, nine hundred thirty-three million, eight hundred fifty-two thousand, one hundred sixty".