1051416706560 has 320 divisors, whose sum is σ = 3677796105984. Its totient is φ = 254125670400.

The previous prime is 1051416706547. The next prime is 1051416706607. The reversal of 1051416706560 is 656076141501.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (320).

It is a super-2 number, since 2×1051416706560² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28451295 + ... + 28488225.

Almost surely, 2^{1051416706560} is an apocalyptic number.

1051416706560 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 1051416706560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838898052992).

1051416706560 is an abundant number, since it is smaller than the sum of its proper divisors (2626379399424).

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

1051416706560 is a wasteful number, since it uses less digits than its factorization.

1051416706560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37305 (or 37289 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 42.

The spelling of 1051416706560 in words is "one trillion, fifty-one billion, four hundred sixteen million, seven hundred six thousand, five hundred sixty".