251297249280 has 1536 divisors, whose sum is σ = 1086898176000. Its totient is φ = 48011673600.

The previous prime is 251297249237. The next prime is 251297249299. The reversal of 251297249280 is 82942792152.

It is a tau number, because it is divible by the number of its divisors (1536).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1686558646 + ... + 1686558794.

It is an arithmetic number, because the mean of its divisors is an integer number (707616000).

Almost surely, 2^251297249280 is an apocalyptic number.

251297249280 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 251297249280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543449088000).

251297249280 is an abundant number, since it is smaller than the sum of its proper divisors (835600926720).

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

251297249280 is a wasteful number, since it uses less digits than its factorization.

251297249280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 251 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 251297249280 in words is "two hundred fifty-one billion, two hundred ninety-seven million, two hundred forty-nine thousand, two hundred eighty".