1056501758340 has 288 divisors, whose sum is σ = 3704426369280. Its totient is φ = 238740139008.

The previous prime is 1056501758339. The next prime is 1056501758359. The reversal of 1056501758340 is 438571056501.

1056501758340 is a `hidden beast` number, since 1 + 0 + 5 + 6 + 50 + 17 + 583 + 4 + 0 = 666.

It is a super-2 number, since 2×1056501758340² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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 95 ways as a sum of consecutive naturals, for example, 39004882 + ... + 39031958.

It is an arithmetic number, because the mean of its divisors is an integer number (12862591560).

Almost surely, 2^{1056501758340} is an apocalyptic number.

1056501758340 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 1056501758340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1852213184640).

1056501758340 is an abundant number, since it is smaller than the sum of its proper divisors (2647924610940).

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

1056501758340 is a wasteful number, since it uses less digits than its factorization.

1056501758340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27451 (or 27446 counting only the distinct ones).

The product of its (nonzero) digits is 504000, while the sum is 45.

The spelling of 1056501758340 in words is "one trillion, fifty-six billion, five hundred one million, seven hundred fifty-eight thousand, three hundred forty".