10459778780160 has 1232 divisors, whose sum is σ = 40122326668800. Its totient is φ = 2607623995392.

The previous prime is 10459778780107. The next prime is 10459778780177. The reversal of 10459778780160 is 6108787795401.

10459778780160 is a `hidden beast` number, since 10 + 459 + 7 + 7 + 8 + 7 + 8 + 0 + 160 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 5602451547 + ... + 5602453413.

Almost surely, 2^{10459778780160} is an apocalyptic number.

10459778780160 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 10459778780160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20061163334400).

10459778780160 is an abundant number, since it is smaller than the sum of its proper divisors (29662547888640).

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

10459778780160 is an equidigital number, since it uses as much as digits as its factorization.

10459778780160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 1975 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 63.

The spelling of 10459778780160 in words is "ten trillion, four hundred fifty-nine billion, seven hundred seventy-eight million, seven hundred eighty thousand, one hundred sixty".