10225771538880 has 224 divisors, whose sum is σ = 33994073240064. Its totient is φ = 2599409004544.

The previous prime is 10225771538869. The next prime is 10225771538881. The reversal of 10225771538880 is 8883517752201.

It is a self number, because there is not a number n which added to its sum of digits gives 10225771538880.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10225771538881) 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, 5679127 + ... + 7259753.

It is an arithmetic number, because the mean of its divisors is an integer number (151759255536).

Almost surely, 2^{10225771538880} is an apocalyptic number.

10225771538880 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 10225771538880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16997036620032).

10225771538880 is an abundant number, since it is smaller than the sum of its proper divisors (23768301701184).

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

10225771538880 is a wasteful number, since it uses less digits than its factorization.

10225771538880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1580963 (or 1580953 counting only the distinct ones).

The product of its (nonzero) digits is 7526400, while the sum is 57.

The spelling of 10225771538880 in words is "ten trillion, two hundred twenty-five billion, seven hundred seventy-one million, five hundred thirty-eight thousand, eight hundred eighty".