251716010710216 has 128 divisors (see below), whose sum is σ = 524033684697600. Its totient is φ = 112629823488000.

The previous prime is 251716010710193. The next prime is 251716010710301. The reversal of 251716010710216 is 612017010617152.

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, 1581359080 + ... + 1581518248.

It is an arithmetic number, because the mean of its divisors is an integer number (4094013161700).

Almost surely, 2^{251716010710216} is an apocalyptic number.

251716010710216 is a gapful number since it is divisible by the number (26) 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 251716010710216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262016842348800).

251716010710216 is an abundant number, since it is smaller than the sum of its proper divisors (272317673987384).

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

251716010710216 is a wasteful number, since it uses less digits than its factorization.

251716010710216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162831 (or 162827 counting only the distinct ones).

The product of its (nonzero) digits is 35280, while the sum is 40.

The spelling of 251716010710216 in words is "two hundred fifty-one trillion, seven hundred sixteen billion, ten million, seven hundred ten thousand, two hundred sixteen".