10027581038720 has 512 divisors, whose sum is σ = 30243552007680. Its totient is φ = 3100853403648.

The previous prime is 10027581038663. The next prime is 10027581038731. The reversal of 10027581038720 is 2783018572001.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 173539754 + ... + 173597526.

It is an arithmetic number, because the mean of its divisors is an integer number (59069437515).

Almost surely, 2^{10027581038720} is an apocalyptic number.

10027581038720 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 10027581038720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15121776003840).

10027581038720 is an abundant number, since it is smaller than the sum of its proper divisors (20215970968960).

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

10027581038720 is a wasteful number, since it uses less digits than its factorization.

10027581038720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57912 (or 57900 counting only the distinct ones).

The product of its (nonzero) digits is 188160, while the sum is 44.

The spelling of 10027581038720 in words is "ten trillion, twenty-seven billion, five hundred eighty-one million, thirty-eight thousand, seven hundred twenty".