251506404096 has 144 divisors (see below), whose sum is σ = 696092866560. Its totient is φ = 80519434240.

The previous prime is 251506404077. The next prime is 251506404113. The reversal of 251506404096 is 690404605152.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4224391 + ... + 4283513.

It is an arithmetic number, because the mean of its divisors is an integer number (4833978240).

Almost surely, 2^251506404096 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 251506404096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (348046433280).

251506404096 is an abundant number, since it is smaller than the sum of its proper divisors (444586462464).

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

251506404096 is a wasteful number, since it uses less digits than its factorization.

251506404096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 59362 (or 59348 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 42.

It can be divided in two parts, 25150 and 6404096, that added together give a palindrome (6429246).

The spelling of 251506404096 in words is "two hundred fifty-one billion, five hundred six million, four hundred four thousand, ninety-six".