251835142992 has 160 divisors (see below), whose sum is σ = 697330010880. Its totient is φ = 78160158720.

The previous prime is 251835142973. The next prime is 251835143023. The reversal of 251835142992 is 299241538152.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 5798317 + ... + 5841587.

It is an arithmetic number, because the mean of its divisors is an integer number (4358312568).

Almost surely, 2^251835142992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 251835142992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348665005440).

251835142992 is an abundant number, since it is smaller than the sum of its proper divisors (445494867888).

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

251835142992 is a wasteful number, since it uses less digits than its factorization.

251835142992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43461 (or 43455 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 51.

The spelling of 251835142992 in words is "two hundred fifty-one billion, eight hundred thirty-five million, one hundred forty-two thousand, nine hundred ninety-two".