1054013256000 has 448 divisors, whose sum is σ = 3882663832320. Its totient is φ = 279936000000.

The previous prime is 1054013255993. The next prime is 1054013256001. The reversal of 1054013256000 is 6523104501.

1054013256000 is a `hidden beast` number, since 1 + 0 + 5 + 40 + 13 + 2 + 5 + 600 + 0 = 666.

It is a super-2 number, since 2×1054013256000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054013256001) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 54206280 + ... + 54225720.

It is an arithmetic number, because the mean of its divisors is an integer number (8666660340).

Almost surely, 2^{1054013256000} is an apocalyptic number.

1054013256000 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 1054013256000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1941331916160).

1054013256000 is an abundant number, since it is smaller than the sum of its proper divisors (2828650576320).

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

1054013256000 is a wasteful number, since it uses less digits than its factorization.

1054013256000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19728 (or 19702 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

The spelling of 1054013256000 in words is "one trillion, fifty-four billion, thirteen million, two hundred fifty-six thousand".