10435520000000 has 208 divisors, whose sum is σ = 26086348453152. Its totient is φ = 4174080000000.

The previous prime is 10435519999981. The next prime is 10435520000063. The reversal of 10435520000000 is 2553401.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 319983695 + ... + 320016305.

It is an arithmetic number, because the mean of its divisors is an integer number (125415136794).

Almost surely, 2^{10435520000000} is an apocalyptic number.

10435520000000 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 10435520000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13043174226576).

10435520000000 is an abundant number, since it is smaller than the sum of its proper divisors (15650828453152).

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

10435520000000 is an frugal number, since it uses more digits than its factorization.

10435520000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32670 (or 32618 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 10435520000000 its reverse (2553401), we get a palindrome (10435522553401).

The spelling of 10435520000000 in words is "ten trillion, four hundred thirty-five billion, five hundred twenty million", and thus it is an aban number.