1009970156160 has 1920 divisors, whose sum is σ = 4467468297600. Its totient is φ = 216329895936.

The previous prime is 1009970156131. The next prime is 1009970156197. The reversal of 1009970156160 is 616510799001.

1009970156160 is a `hidden beast` number, since 10 + 0 + 9 + 9 + 7 + 0 + 15 + 616 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 3446996974 + ... + 3446997266.

It is an arithmetic number, because the mean of its divisors is an integer number (2326806405).

Almost surely, 2^{1009970156160} is an apocalyptic number.

1009970156160 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 1009970156160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2233734148800).

1009970156160 is an abundant number, since it is smaller than the sum of its proper divisors (3457498141440).

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

1009970156160 is a wasteful number, since it uses less digits than its factorization.

1009970156160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420 (or 392 counting only the distinct ones).

The product of its (nonzero) digits is 102060, while the sum is 45.

The spelling of 1009970156160 in words is "one trillion, nine billion, nine hundred seventy million, one hundred fifty-six thousand, one hundred sixty".