1054869764256 has 576 divisors, whose sum is σ = 3875039481600. Its totient is φ = 273277255680.

The previous prime is 1054869764243. The next prime is 1054869764257. The reversal of 1054869764256 is 6524679684501.

1054869764256 is a `hidden beast` number, since 1 + 0 + 5 + 486 + 97 + 64 + 2 + 5 + 6 = 666.

It is a super-2 number, since 2×1054869764256² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 1054869764193 and 1054869764202.

It is not an unprimeable number, because it can be changed into a prime (1054869764257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 316871200 + ... + 316874528.

It is an arithmetic number, because the mean of its divisors is an integer number (6727499100).

Almost surely, 2^{1054869764256} is an apocalyptic number.

1054869764256 is a gapful number since it is divisible by the number (16) 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 1054869764256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1937519740800).

1054869764256 is an abundant number, since it is smaller than the sum of its proper divisors (2820169717344).

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

1054869764256 is a wasteful number, since it uses less digits than its factorization.

1054869764256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3810 (or 3785 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 1054869764256 in words is "one trillion, fifty-four billion, eight hundred sixty-nine million, seven hundred sixty-four thousand, two hundred fifty-six".