1056531326004 has 288 divisors, whose sum is σ = 3481006233600. Its totient is φ = 274031190720.

The previous prime is 1056531326003. The next prime is 1056531326063. The reversal of 1056531326004 is 4006231356501.

1056531326004 is a `hidden beast` number, since 1 + 0 + 565 + 3 + 1 + 32 + 60 + 0 + 4 = 666.

It is a super-2 number, since 2×1056531326004² (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 a self number, because there is not a number n which added to its sum of digits gives 1056531326004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1056531326003) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 41841807 + ... + 41867049.

It is an arithmetic number, because the mean of its divisors is an integer number (12086827200).

Almost surely, 2^{1056531326004} is an apocalyptic number.

1056531326004 is a gapful number since it is divisible by the number (14) 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 1056531326004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740503116800).

1056531326004 is an abundant number, since it is smaller than the sum of its proper divisors (2424474907596).

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

1056531326004 is a wasteful number, since it uses less digits than its factorization.

1056531326004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26000 (or 25985 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 1056531326004 in words is "one trillion, fifty-six billion, five hundred thirty-one million, three hundred twenty-six thousand, four".