1254857384880 has 1760 divisors, whose sum is σ = 5314039879680. Its totient is φ = 272097792000.

The previous prime is 1254857384867. The next prime is 1254857384881. The reversal of 1254857384880 is 884837584521.

1254857384880 is a `hidden beast` number, since 1 + 2 + 5 + 4 + 85 + 73 + 8 + 488 + 0 = 666.

It is a super-2 number, since 2×1254857384880² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1254857384881) by changing a digit.

It is a polite number, since it can be written in 351 ways as a sum of consecutive naturals, for example, 30606277660 + ... + 30606277700.

Almost surely, 2^{1254857384880} is an apocalyptic number.

1254857384880 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 1254857384880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2657019939840).

1254857384880 is an abundant number, since it is smaller than the sum of its proper divisors (4059182494800).

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

1254857384880 is a wasteful number, since it uses less digits than its factorization.

1254857384880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 68812800, while the sum is 63.

The spelling of 1254857384880 in words is "one trillion, two hundred fifty-four billion, eight hundred fifty-seven million, three hundred eighty-four thousand, eight hundred eighty".