1656129720960 has 384 divisors, whose sum is σ = 6718620504960. Its totient is φ = 370602270720.

The previous prime is 1656129720929. The next prime is 1656129720991. The reversal of 1656129720960 is 690279216561.

1656129720960 is a `hidden beast` number, since 1 + 6 + 561 + 2 + 9 + 72 + 0 + 9 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (1656129720929) and next prime (1656129720991).

It is a tau number, because it is divible by the number of its divisors (384).

It is a junction number, because it is equal to n+sod(n) for n = 1656129720897 and 1656129720906.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 181644 + ... + 1829003.

It is an arithmetic number, because the mean of its divisors is an integer number (17496407565).

Almost surely, 2^{1656129720960} is an apocalyptic number.

1656129720960 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 1656129720960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3359310252480).

1656129720960 is an abundant number, since it is smaller than the sum of its proper divisors (5062490784000).

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

1656129720960 is a wasteful number, since it uses less digits than its factorization.

1656129720960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2010696 (or 2010681 counting only the distinct ones).

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

The spelling of 1656129720960 in words is "one trillion, six hundred fifty-six billion, one hundred twenty-nine million, seven hundred twenty thousand, nine hundred sixty".