251197025040 has 800 divisors, whose sum is σ = 992862452736. Its totient is φ = 58420776960.

The previous prime is 251197025033. The next prime is 251197025041. The reversal of 251197025040 is 40520791152.

251197025040 is a `hidden beast` number, since 2 + 511 + 97 + 0 + 2 + 50 + 4 + 0 = 666.

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 = 251197024986 and 251197025004.

It is not an unprimeable number, because it can be changed into a prime (251197025041) 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 159 ways as a sum of consecutive naturals, for example, 112290802 + ... + 112293038.

Almost surely, 2^251197025040 is an apocalyptic number.

251197025040 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 251197025040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496431226368).

251197025040 is an abundant number, since it is smaller than the sum of its proper divisors (741665427696).

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

251197025040 is a wasteful number, since it uses less digits than its factorization.

251197025040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2349 (or 2334 counting only the distinct ones).

The product of its (nonzero) digits is 25200, while the sum is 36.

The spelling of 251197025040 in words is "two hundred fifty-one billion, one hundred ninety-seven million, twenty-five thousand, forty".