251401347792 has 240 divisors, whose sum is σ = 855215262720. Its totient is φ = 67299545088.

The previous prime is 251401347779. The next prime is 251401347803. The reversal of 251401347792 is 297743104152.

251401347792 is a `hidden beast` number, since 2 + 51 + 40 + 1 + 3 + 477 + 92 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3788434 + ... + 3854222.

It is an arithmetic number, because the mean of its divisors is an integer number (3563396928).

Almost surely, 2^251401347792 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 251401347792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (427607631360).

251401347792 is an abundant number, since it is smaller than the sum of its proper divisors (603813914928).

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

251401347792 is a wasteful number, since it uses less digits than its factorization.

251401347792 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66050 (or 66041 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 45.

The spelling of 251401347792 in words is "two hundred fifty-one billion, four hundred one million, three hundred forty-seven thousand, seven hundred ninety-two".