10206425115432 has 256 divisors, whose sum is σ = 34924102080000. Its totient is φ = 2689463844864.

The previous prime is 10206425115401. The next prime is 10206425115433. The reversal of 10206425115432 is 23451152460201.

10206425115432 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 64 + 2 + 51 + 1 + 543 + 2 = 666.

10206425115432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10206425115432² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10206425115433) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 22438194 + ... + 22888542.

It is an arithmetic number, because the mean of its divisors is an integer number (136422273750).

Almost surely, 2^{10206425115432} is an apocalyptic number.

10206425115432 is a gapful number since it is divisible by the number (12) 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 10206425115432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17462051040000).

10206425115432 is an abundant number, since it is smaller than the sum of its proper divisors (24717676964568).

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

10206425115432 is a wasteful number, since it uses less digits than its factorization.

10206425115432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451537 (or 451527 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 10206425115432 its reverse (23451152460201), we get a palindrome (33657577575633).

The spelling of 10206425115432 in words is "ten trillion, two hundred six billion, four hundred twenty-five million, one hundred fifteen thousand, four hundred thirty-two".