10206451233540 has 144 divisors (see below), whose sum is σ = 32090070121200. Its totient is φ = 2622704415744.

The previous prime is 10206451233533. The next prime is 10206451233551. The reversal of 10206451233540 is 4533215460201.

10206451233540 is a `hidden beast` number, since 1 + 0 + 2 + 0 + 64 + 51 + 2 + 3 + 3 + 540 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 167071657536 + 10039379576004 = 408744^2 + 3168498^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 10206451233495 and 10206451233504.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 736294 + ... + 4577666.

It is an arithmetic number, because the mean of its divisors is an integer number (222847709175).

Almost surely, 2^{10206451233540} is an apocalyptic number.

10206451233540 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 10206451233540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16045035060600).

10206451233540 is an abundant number, since it is smaller than the sum of its proper divisors (21883618887660).

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

10206451233540 is a wasteful number, since it uses less digits than its factorization.

10206451233540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3841926 (or 3841921 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

Adding to 10206451233540 its reverse (4533215460201), we get a palindrome (14739666693741).

The spelling of 10206451233540 in words is "ten trillion, two hundred six billion, four hundred fifty-one million, two hundred thirty-three thousand, five hundred forty".