1254380365056 has 432 divisors, whose sum is σ = 4188293160576. Its totient is φ = 326276481024.

The previous prime is 1254380365013. The next prime is 1254380365079. The reversal of 1254380365056 is 6505630834521.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 1254380364996 and 1254380365014.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 66314256 + ... + 66333168.

Almost surely, 2^{1254380365056} is an apocalyptic number.

1254380365056 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 1254380365056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2094146580288).

1254380365056 is an abundant number, since it is smaller than the sum of its proper divisors (2933912795520).

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

1254380365056 is a wasteful number, since it uses less digits than its factorization.

1254380365056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19038 (or 19011 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 48.

The spelling of 1254380365056 in words is "one trillion, two hundred fifty-four billion, three hundred eighty million, three hundred sixty-five thousand, fifty-six".