251887649786880 has 352 divisors, whose sum is σ = 817101565125120. Its totient is φ = 66215268188160.

The previous prime is 251887649786879. The next prime is 251887649786909. The reversal of 251887649786880 is 88687946788152.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16475082276 + ... + 16475097564.

It is an arithmetic number, because the mean of its divisors is an integer number (2321311264560).

Almost surely, 2^{251887649786880} is an apocalyptic number.

251887649786880 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 251887649786880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408550782562560).

251887649786880 is an abundant number, since it is smaller than the sum of its proper divisors (565213915338240).

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

251887649786880 is a wasteful number, since it uses less digits than its factorization.

251887649786880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30495 (or 30477 counting only the distinct ones).

The product of its (nonzero) digits is 20808990720, while the sum is 87.

The spelling of 251887649786880 in words is "two hundred fifty-one trillion, eight hundred eighty-seven billion, six hundred forty-nine million, seven hundred eighty-six thousand, eight hundred eighty".