1054375964928 has 1152 divisors, whose sum is σ = 3916317081600. Its totient is φ = 274887475200.

The previous prime is 1054375964921. The next prime is 1054375964947. The reversal of 1054375964928 is 8294695734501.

1054375964928 is a `hidden beast` number, since 1 + 0 + 5 + 4 + 37 + 596 + 4 + 9 + 2 + 8 = 666.

1054375964928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×1054375964928² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1054375964921) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2201202193 + ... + 2201202671.

It is an arithmetic number, because the mean of its divisors is an integer number (3399580800).

It is a 1-persistent number, because it is pandigital, but 2⋅1054375964928 = 2108751929856 is not.

Almost surely, 2^{1054375964928} is an apocalyptic number.

1054375964928 is a gapful number since it is divisible by the number (18) 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 1054375964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1958158540800).

1054375964928 is an abundant number, since it is smaller than the sum of its proper divisors (2861941116672).

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

1054375964928 is a wasteful number, since it uses less digits than its factorization.

1054375964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 676 (or 656 counting only the distinct ones).

The product of its (nonzero) digits is 65318400, while the sum is 63.

The spelling of 1054375964928 in words is "one trillion, fifty-four billion, three hundred seventy-five million, nine hundred sixty-four thousand, nine hundred twenty-eight".