10355431680 has 1296 divisors, whose sum is σ = 45801624960. Its totient is φ = 2141061120.

The previous prime is 10355431643. The next prime is 10355431693. The reversal of 10355431680 is 8613455301.

10355431680 is a `hidden beast` number, since 1 + 0 + 35 + 543 + 1 + 6 + 80 = 666.

It is a super-3 number, since 3×10355431680³ (a number of 31 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 450236149 + ... + 450236171.

It is an arithmetic number, because the mean of its divisors is an integer number (35340760).

Almost surely, 2^10355431680 is an apocalyptic number.

10355431680 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 10355431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22900812480).

10355431680 is an abundant number, since it is smaller than the sum of its proper divisors (35446193280).

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

10355431680 is a wasteful number, since it uses less digits than its factorization.

10355431680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 108 (or 80 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 10355431680 its reverse (8613455301), we get a palindrome (18968886981).

The spelling of 10355431680 in words is "ten billion, three hundred fifty-five million, four hundred thirty-one thousand, six hundred eighty".