10559704631040 has 360 divisors, whose sum is σ = 38316757758048. Its totient is φ = 2776258437120.

The previous prime is 10559704631039. The next prime is 10559704631053. The reversal of 10559704631040 is 4013640795501.

10559704631040 is a `hidden beast` number, since 1 + 0 + 5 + 5 + 9 + 7 + 0 + 4 + 631 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (360).

It is a super-2 number, since 2×10559704631040² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6644034 + ... + 8078526.

Almost surely, 2^{10559704631040} is an apocalyptic number.

10559704631040 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 10559704631040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19158378879024).

10559704631040 is an abundant number, since it is smaller than the sum of its proper divisors (27757053127008).

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

10559704631040 is an equidigital number, since it uses as much as digits as its factorization.

10559704631040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1434597 (or 1434574 counting only the distinct ones).

The product of its (nonzero) digits is 453600, while the sum is 45.

The spelling of 10559704631040 in words is "ten trillion, five hundred fifty-nine billion, seven hundred four million, six hundred thirty-one thousand, forty".