10730402242560 has 3136 divisors, whose sum is σ = 51983631221760. Its totient is φ = 2052445962240.

The previous prime is 10730402242537. The next prime is 10730402242583. The reversal of 10730402242560 is 6524220403701.

10730402242560 is a `hidden beast` number, since 1 + 0 + 7 + 3 + 0 + 402 + 242 + 5 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (10730402242537) and next prime (10730402242583).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 29889699661 + ... + 29889700019.

Almost surely, 2^{10730402242560} is an apocalyptic number.

10730402242560 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 10730402242560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25991815610880).

10730402242560 is an abundant number, since it is smaller than the sum of its proper divisors (41253228979200).

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

10730402242560 is an equidigital number, since it uses as much as digits as its factorization.

10730402242560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439 (or 400 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 36.

The spelling of 10730402242560 in words is "ten trillion, seven hundred thirty billion, four hundred two million, two hundred forty-two thousand, five hundred sixty".