251275761360 has 640 divisors, whose sum is σ = 949939200000. Its totient is φ = 60678678528.

The previous prime is 251275761287. The next prime is 251275761361. The reversal of 251275761360 is 63167572152.

It is a happy number.

251275761360 is a `hidden beast` number, since 2 + 5 + 1 + 2 + 7 + 576 + 13 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (251275761361) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 503558391 + ... + 503558889.

It is an arithmetic number, because the mean of its divisors is an integer number (1484280000).

Almost surely, 2^251275761360 is an apocalyptic number.

251275761360 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 251275761360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (474969600000).

251275761360 is an abundant number, since it is smaller than the sum of its proper divisors (698663438640).

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

251275761360 is a wasteful number, since it uses less digits than its factorization.

251275761360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 840 (or 828 counting only the distinct ones).

The product of its (nonzero) digits is 529200, while the sum is 45.

The spelling of 251275761360 in words is "two hundred fifty-one billion, two hundred seventy-five million, seven hundred sixty-one thousand, three hundred sixty".