254787891120 has 1120 divisors, whose sum is σ = 1061703475200. Its totient is φ = 56787816960.

The previous prime is 254787891107. The next prime is 254787891139. The reversal of 254787891120 is 21198787452.

254787891120 is a `hidden beast` number, since 2 + 5 + 478 + 78 + 91 + 12 + 0 = 666.

It is a super-2 number, since 2×254787891120² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 940176585 + ... + 940176855.

Almost surely, 2^254787891120 is an apocalyptic number.

254787891120 is a gapful number since it is divisible by the number (20) 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 254787891120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (530851737600).

254787891120 is an abundant number, since it is smaller than the sum of its proper divisors (806915584080).

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

254787891120 is an equidigital number, since it uses as much as digits as its factorization.

254787891120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 2257920, while the sum is 54.

The spelling of 254787891120 in words is "two hundred fifty-four billion, seven hundred eighty-seven million, eight hundred ninety-one thousand, one hundred twenty".