10225879776 has 288 divisors, whose sum is σ = 35895636000. Its totient is φ = 2820593664.

The previous prime is 10225879717. The next prime is 10225879789. The reversal of 10225879776 is 67797852201.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 1223580 + ... + 1231908.

It is an arithmetic number, because the mean of its divisors is an integer number (124637625).

Almost surely, 2^10225879776 is an apocalyptic number.

10225879776 is a gapful number since it is divisible by the number (16) 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 10225879776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17947818000).

10225879776 is an abundant number, since it is smaller than the sum of its proper divisors (25669756224).

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

10225879776 is a wasteful number, since it uses less digits than its factorization.

10225879776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8391 (or 8370 counting only the distinct ones).

The product of its (nonzero) digits is 2963520, while the sum is 54.

The spelling of 10225879776 in words is "ten billion, two hundred twenty-five million, eight hundred seventy-nine thousand, seven hundred seventy-six".