1051808591680 has 448 divisors, whose sum is σ = 3153888202752. Its totient is φ = 324574248960.

The previous prime is 1051808591627. The next prime is 1051808591681. The reversal of 1051808591680 is 861958081501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a super-2 number, since 2×1051808591680² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1051808591681) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1822891552 + ... + 1822892128.

It is an arithmetic number, because the mean of its divisors is an integer number (7039929024).

Almost surely, 2^{1051808591680} is an apocalyptic number.

1051808591680 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 1051808591680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1576944101376).

1051808591680 is an abundant number, since it is smaller than the sum of its proper divisors (2102079611072).

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

1051808591680 is a wasteful number, since it uses less digits than its factorization.

1051808591680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1222 (or 1212 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 52.

The spelling of 1051808591680 in words is "one trillion, fifty-one billion, eight hundred eight million, five hundred ninety-one thousand, six hundred eighty".