10436999359080 has 1024 divisors, whose sum is σ = 38668492800000. Its totient is φ = 2249646981120.

The previous prime is 10436999359051. The next prime is 10436999359093. The reversal of 10436999359080 is 8095399963401.

10436999359080 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 8289911491 + ... + 8289912749.

It is an arithmetic number, because the mean of its divisors is an integer number (37762200000).

Almost surely, 2^{10436999359080} is an apocalyptic number.

10436999359080 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 10436999359080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19334246400000).

10436999359080 is an abundant number, since it is smaller than the sum of its proper divisors (28231493440920).

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

10436999359080 is a wasteful number, since it uses less digits than its factorization.

10436999359080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1487 (or 1469 counting only the distinct ones).

The product of its (nonzero) digits is 56687040, while the sum is 66.

The spelling of 10436999359080 in words is "ten trillion, four hundred thirty-six billion, nine hundred ninety-nine million, three hundred fifty-nine thousand, eighty".