1051748167680 has 1872 divisors, whose sum is σ = 4649746308480. Its totient is φ = 226743681024.

The previous prime is 1051748167643. The next prime is 1051748167739. The reversal of 1051748167680 is 867618471501.

1051748167680 is a `hidden beast` number, since 1 + 0 + 5 + 17 + 481 + 6 + 76 + 80 = 666.

It is a super-2 number, since 2×1051748167680² (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4633251727 + ... + 4633251953.

It is an arithmetic number, because the mean of its divisors is an integer number (2483838840).

Almost surely, 2^{1051748167680} is an apocalyptic number.

1051748167680 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 1051748167680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2324873154240).

1051748167680 is an abundant number, since it is smaller than the sum of its proper divisors (3597998140800).

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

1051748167680 is an equidigital number, since it uses as much as digits as its factorization.

1051748167680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 304 (or 263 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 1051748167680 in words is "one trillion, fifty-one billion, seven hundred forty-eight million, one hundred sixty-seven thousand, six hundred eighty".