254053787040 has 384 divisors, whose sum is σ = 913203486720. Its totient is φ = 65938489344.

The previous prime is 254053786997. The next prime is 254053787047. The reversal of 254053787040 is 40787350452.

254053787040 is a `hidden beast` number, since 2 + 5 + 4 + 0 + 537 + 8 + 70 + 40 = 666.

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 (254053787047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29073552 + ... + 29082288.

It is an arithmetic number, because the mean of its divisors is an integer number (2378134080).

Almost surely, 2^254053787040 is an apocalyptic number.

254053787040 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 254053787040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456601743360).

254053787040 is an abundant number, since it is smaller than the sum of its proper divisors (659149699680).

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

254053787040 is a wasteful number, since it uses less digits than its factorization.

254053787040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8941 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 940800, while the sum is 45.

The spelling of 254053787040 in words is "two hundred fifty-four billion, fifty-three million, seven hundred eighty-seven thousand, forty".