1256198544000 has 2560 divisors, whose sum is σ = 5373118333440. Its totient is φ = 289043251200.

The previous prime is 1256198543893. The next prime is 1256198544001. The reversal of 1256198544000 is 4458916521.

1256198544000 is a `hidden beast` number, since 1 + 2 + 5 + 6 + 198 + 54 + 400 + 0 = 666.

It is a super-4 number, since 4×1256198544000⁴ (a number of 49 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (1256198544001) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 18749231967 + ... + 18749232033.

It is an arithmetic number, because the mean of its divisors is an integer number (2098874349).

Almost surely, 2^{1256198544000} is an apocalyptic number.

1256198544000 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 1256198544000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2686559166720).

1256198544000 is an abundant number, since it is smaller than the sum of its proper divisors (4116919789440).

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

1256198544000 is a wasteful number, since it uses less digits than its factorization.

1256198544000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 1256198544000 in words is "one trillion, two hundred fifty-six billion, one hundred ninety-eight million, five hundred forty-four thousand".