10625063100040 has 128 divisors (see below), whose sum is σ = 24661873928160. Its totient is φ = 4117988818944.

The previous prime is 10625063100031. The next prime is 10625063100097. The reversal of 10625063100040 is 4000136052601.

10625063100040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 16 ways, for example, as 428498541604 + 10196564558436 = 654598^2 + 3193206^2 .

It is a super-2 number, since 2×10625063100040² (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10625063099981 and 10625063100008.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66278062 + ... + 66438178.

Almost surely, 2^{10625063100040} is an apocalyptic number.

10625063100040 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 10625063100040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12330936964080).

10625063100040 is an abundant number, since it is smaller than the sum of its proper divisors (14036810828120).

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

10625063100040 is a wasteful number, since it uses less digits than its factorization.

10625063100040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160571 (or 160567 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 28.

Adding to 10625063100040 its reverse (4000136052601), we get a palindrome (14625199152641).

The spelling of 10625063100040 in words is "ten trillion, six hundred twenty-five billion, sixty-three million, one hundred thousand, forty".