1012432750560 has 2688 divisors, whose sum is σ = 4997510784000. Its totient is φ = 187042037760.

The previous prime is 1012432750517. The next prime is 1012432750573. The reversal of 1012432750560 is 650572342101.

1012432750560 is a `hidden beast` number, since 1 + 0 + 1 + 2 + 43 + 2 + 7 + 50 + 560 = 666.

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 pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 447 ways as a sum of consecutive naturals, for example, 2900953266 + ... + 2900953614.

It is an arithmetic number, because the mean of its divisors is an integer number (1859193000).

Almost surely, 2^{1012432750560} is an apocalyptic number.

1012432750560 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 1012432750560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2498755392000).

1012432750560 is an abundant number, since it is smaller than the sum of its proper divisors (3985078033440).

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

1012432750560 is a wasteful number, since it uses less digits than its factorization.

1012432750560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 436 (or 413 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 1012432750560 in words is "one trillion, twelve billion, four hundred thirty-two million, seven hundred fifty thousand, five hundred sixty".