10241077560 has 256 divisors, whose sum is σ = 36404121600. Its totient is φ = 2255910912.

The previous prime is 10241077541. The next prime is 10241077579. The reversal of 10241077560 is 6577014201.

It is an interprime number because it is at equal distance from previous prime (10241077541) and next prime (10241077579).

It is a congruent number.

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, 3386209 + ... + 3389231.

It is an arithmetic number, because the mean of its divisors is an integer number (142203600).

Almost surely, 2^10241077560 is an apocalyptic number.

10241077560 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 10241077560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18202060800).

10241077560 is an abundant number, since it is smaller than the sum of its proper divisors (26163044040).

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

10241077560 is a wasteful number, since it uses less digits than its factorization.

10241077560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3190 (or 3186 counting only the distinct ones).

The product of its (nonzero) digits is 11760, while the sum is 33.

The spelling of 10241077560 in words is "ten billion, two hundred forty-one million, seventy-seven thousand, five hundred sixty".