1056001254000 has 960 divisors, whose sum is σ = 4508590574592. Its totient is φ = 209873664000.

The previous prime is 1056001253963. The next prime is 1056001254013. The reversal of 1056001254000 is 4521006501.

It is a super-2 number, since 2×1056001254000² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 74374902 + ... + 74389098.

Almost surely, 2^{1056001254000} is an apocalyptic number.

1056001254000 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 1056001254000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2254295287296).

1056001254000 is an abundant number, since it is smaller than the sum of its proper divisors (3452589320592).

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

1056001254000 is a wasteful number, since it uses less digits than its factorization.

1056001254000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14271 (or 14248 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The spelling of 1056001254000 in words is "one trillion, fifty-six billion, one million, two hundred fifty-four thousand".