251041334779872 has 648 divisors, whose sum is σ = 901398448674360. Its totient is φ = 66050424760320.

The previous prime is 251041334779871. The next prime is 251041334779927. The reversal of 251041334779872 is 278977433140152.

251041334779872 is a `hidden beast` number, since 2 + 5 + 1 + 0 + 4 + 1 + 3 + 3 + 477 + 98 + 72 = 666.

251041334779872 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251041334779871) by changing a digit.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 999159222 + ... + 999410442.

It is an arithmetic number, because the mean of its divisors is an integer number (1391046988695).

Almost surely, 2^{251041334779872} 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 251041334779872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450699224337180).

251041334779872 is an abundant number, since it is smaller than the sum of its proper divisors (650357113894488).

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

251041334779872 is a wasteful number, since it uses less digits than its factorization.

251041334779872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251696 (or 251665 counting only the distinct ones).

The product of its (nonzero) digits is 71124480, while the sum is 63.

The spelling of 251041334779872 in words is "two hundred fifty-one trillion, forty-one billion, three hundred thirty-four million, seven hundred seventy-nine thousand, eight hundred seventy-two".