251105495040 has 480 divisors, whose sum is σ = 907302876480. Its totient is φ = 66421555200.

The previous prime is 251105495033. The next prime is 251105495059. The reversal of 251105495040 is 40594501152.

251105495040 is a `hidden beast` number, since 2 + 5 + 1 + 105 + 49 + 504 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 251105494986 and 251105495004.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 108655485 + ... + 108657795.

It is an arithmetic number, because the mean of its divisors is an integer number (1890214326).

Almost surely, 2^251105495040 is an apocalyptic number.

251105495040 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 251105495040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (453651438240).

251105495040 is an abundant number, since it is smaller than the sum of its proper divisors (656197381440).

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

251105495040 is a wasteful number, since it uses less digits than its factorization.

251105495040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2481 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

Adding to 251105495040 its reverse (40594501152), we get a palindrome (291699996192).

The spelling of 251105495040 in words is "two hundred fifty-one billion, one hundred five million, four hundred ninety-five thousand, forty".