1072341610560 has 504 divisors, whose sum is σ = 4060212636480. Its totient is φ = 259576289280.

The previous prime is 1072341610547. The next prime is 1072341610579. The reversal of 1072341610560 is 650161432701.

1072341610560 is a `hidden beast` number, since 1 + 0 + 7 + 2 + 34 + 1 + 61 + 0 + 560 = 666.

It is a super-2 number, since 2×1072341610560² (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 286797171 + ... + 286800909.

Almost surely, 2^{1072341610560} is an apocalyptic number.

1072341610560 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 1072341610560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2030106318240).

1072341610560 is an abundant number, since it is smaller than the sum of its proper divisors (2987871025920).

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

1072341610560 is a wasteful number, since it uses less digits than its factorization.

1072341610560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4607 (or 4583 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 36.

The spelling of 1072341610560 in words is "one trillion, seventy-two billion, three hundred forty-one million, six hundred ten thousand, five hundred sixty".