10027483086140 has 96 divisors (see below), whose sum is σ = 22834238696640. Its totient is φ = 3676896976896.

The previous prime is 10027483086121. The next prime is 10027483086143. The reversal of 10027483086140 is 4168038472001.

10027483086140 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-3 number, since 3×10027483086140³ (a number of 40 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 10027483086091 and 10027483086100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10027483086143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77043959 + ... + 77174001.

It is an arithmetic number, because the mean of its divisors is an integer number (237856653090).

Almost surely, 2^{10027483086140} is an apocalyptic number.

10027483086140 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 10027483086140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11417119348320).

10027483086140 is an abundant number, since it is smaller than the sum of its proper divisors (12806755610500).

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

10027483086140 is a wasteful number, since it uses less digits than its factorization.

10027483086140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132111 (or 132109 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 44.

The spelling of 10027483086140 in words is "ten trillion, twenty-seven billion, four hundred eighty-three million, eighty-six thousand, one hundred forty".