1651551168960 has 2688 divisors, whose sum is σ = 7733915025408. Its totient is φ = 313528320000.

The previous prime is 1651551168941. The next prime is 1651551168973. The reversal of 1651551168960 is 698611551561.

1651551168960 is a `hidden beast` number, since 1 + 6 + 5 + 1 + 5 + 511 + 68 + 9 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1651551168897 and 1651551168906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 10937424885 + ... + 10937425035.

Almost surely, 2^{1651551168960} is an apocalyptic number.

1651551168960 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 1651551168960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3866957512704).

1651551168960 is an abundant number, since it is smaller than the sum of its proper divisors (6082363856448).

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

1651551168960 is a wasteful number, since it uses less digits than its factorization.

1651551168960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303 (or 290 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 54.

The spelling of 1651551168960 in words is "one trillion, six hundred fifty-one billion, five hundred fifty-one million, one hundred sixty-eight thousand, nine hundred sixty".